These are non-irradiated and "inspected and approved by USDA/FDA and national food inspection authorities. They come from free-range South American cattle that are grass-fed without growth hormones or any other unnatural additives commonly used with feed lot cattle."
As far as odor and how bully sticks are made, I found
this:
While processing, the bull's penis that is usually measures around 23-25 inches in length, is removed and cleaned. Manufactures of bully sticks hang the pizzles vertically to allow containing fluids to fully run out. Without these fluids the bully stick is odorless. At the next stage of processing bully sticks are stretched, twisted and then dried or/and smoked. The outcome is a 30-40 inches long hard brown stick which is then cut into pieces appropriate for dogs of all sizes. You can choose small bully sticks of 4'', large beef pizzles of 36'' and any length between.