How many months you can handle without working out?

How does your body change during that time?? 

depends how long you've training .. If you're a 'newbie' to resistance training you'll probably lose all of your previous adaptations if you stop training .. If you're an intermediate / advanced lifter you won't lose everything you've gained over the course of years 

My maximum was two months when I was sick. Without training I gain weight quickly, so I don't like that. Especially if it's in the there's no activity at all during that time. Also, sports are my way of relieving stress. I just like being active.