I don't think it is too practical to store large quantities of it. The most I have ever stored is 5 gallons over 2 weeks.
I keep mine in a dark area, sealed from the air for a week, maybe 2. No issues here. I seen a
LFS sell it and they kept it in a 1000 gallon plastic tank meant for farm liquid fertilizer, I can't assume they sell it overly fast, so it must sit in there for months.... I would think if you stored it, sealed without much air in the container it should be good for a longgggg time, maybe agitate it for a few hours before use. Keep it away from light. Many reefers complain it stinks after sitting for a day or two, I have yet to run into that, but I keep mine sealed away, no access to the atmosphere.
Apart from that I'm not sure on the science of water going bad, theoretically if nothing is growing in it, it should be fine for use.