For sure big businesses have their own challenges as well as small businesses too, but challenges should be a thing to be scared of, it is a thing to face and subdue.
One major challenge of big businesses is Control, you may not be able to have total control over activities in the business.
Taxation: since government see the business as a big business they will always bring figures in taxes, has operators of the business will have to foot the bill.
Also more work, meetings and sometimes travelling is involved for owners of big companies.