Are too many rawhide chewstics bad for my dog?

I used to give these to my dog because they kept him occupied for awhile if I had to do some work or go out for a bit, but they always used to last him a few days, sometimes a week. Now, he rips through them in perhaps an hour. He's only a 15 pound Cairn Terrier. Would eating too many chew sticks cause any problems for him, digestive or otherwise? Thanks!