I don't think that there is any time limit on how long you keep it as long as it's in a sealed container. However, the longer it is stored, the more CO2 will dissolve in it, which will lower the pH. Make sure you aerate it before use and possibly add some buffer.
I have a bathroom in my garage with a tub.. I keep my R/O and totes in the tub just incase there was a leak or I forget to turn it off, etc. The R/O will supposedly make 75 gal. in 24 hours, so I turn it on the moring of my water change. I store the water in a 18 gal plastic tote and throw in a small pump and heater. Im planning on getting a small wagon to move the water and save my back.
Depends on what you are using it for. We store some RODI as drinking water for just in case scenarios, like to have a couple days of food and water on hand for storms, etc. We've seen pipes burst up here in winter and storms down powerlines leaving people in homes with no heat and no water. With a couple drops of bleach it lasts a long time in a sealed container kept in the dark. I usually rotate out my RODI containers at least every 6 month for the fish tank and have never seen a problem with it. I don't aerate it either, the tank does that quickly.
Depending on the quality of the container (will it leach stuff into the water) and how its stored (in the dark, or in sunlight) I'd think you can keep it for 2 years w/o problem. That said, this is idealized, so I never push that.
Also, I wouldn't aerate for long term storage. That can only leave a way to introduce impurities unless you somehow seal the system.
For drinking water, you may want to skip the DI stage. The DI strips many of the minerals that make water taste good. Also, water run through the DI cartridge is more reactive than the regular water and is somewhat unhealthy for you.
I have a question to add to this one. I know most people say they do not care as long as it is still reading clean, but is there a way to avoid the water stored from getting that smell it gets? It is not bad just reminds me of old man. I use my stored water fairly quick but by the bottom of my bin it starts to get that smell. I was thinking if tossing a bag of carbon in there has anyone done this?