Sweet potatoes are tropical perennials so if you are in a frost free area, they will keep growing for years. They are very susceptible to frost, so for most of us, we dig them in the fall, store them through the winter, use selected potatoes to start new plants come spring. They are easy to store as long the storage temp does not drop below 50 degrees F. I have known folks who grew them as houseplants ( pretty vine) and use clippings from the vine to start a new planting outdoors in late spring. If you can keep that pot above freezing you should have no problem, but most of us can't do that.
