I would say the biggest "problem" of having money is that it comes with lots of responsabilities. You will have to spend your time managing it properly, otherwise, it goes away... People think that to have money is only fun and freedom. But it's not. You have to give up on a lot of leisure to maintain your money or to grow it.
Yes the more money you get means that your responsibilities would increase because your expenses will multiply many times depending on the level that you want to mantain, some people will say the more money you get the more problems you will see but the problems would be nothing if you have money to take care of them. One of the big problems of money is how to manage it, if you cannot manage your riches you will gradually lose it, some people says that it is easier to become rich than managing to remain rich, that is why you will see rich people who became poor due to their poor financial management. Being rich is not only about enjoying luxury lifestyles if you don't work hard to mantain you level or go higher then you will start to go downward which would be very bad. Better not to be rich than becoming rich then fall to become poor, it is usually very deverstating.
That devastation that comes from being poor after being rich at some point of your life, is never something I will wish it happens to anyone, but life happens anyways. But in some instances an individual are responsible for such misfortune, if you are rich don't become too comfortable instead you should keep working more harder in other to have more streams of income, so many people don't survive the devastation of being poor after being rich, life can become miserable that you might not be able to start all over again, some can become depressed and think of ending it all by committing suicide.