A hen with a diaper. It may not be quite what you had in mind but many people keep hens as indoor pets. You'd need to get a companion chicken for it if you're gone that long, or else it would squawk from loneliness.
Taking care of birds is not easy. they are very attention hungry and poop a lot. I think parakeets are not as hard as parrots. Get 2 because when you are away they can chirp at each other. Get separate cages because unless you are breeding them they are very territorial.
Probably should have two. I recommend people get 2 cats if they are going to be gone so they can keep each other company.
I live in a apartment at the moment and was wanting to get a bird. The thing is during the day for about 9 hours nobody is home. I leave at about 7 and get back at 2:45. But after that I can come home and care for it and train it. I just want to know if there are any birds that don't mind as much being at home for that amount of time.