I don't know of any film that can be pushed to 16000+ ISO with any level of quality. I don't even know of any film body that allows even close to that to be configured.

Digital sensors will produce noise at all sensitivities, the least amount at the sensitivity they "default" with. But current low-noise and high-ISO capable sensors, along with the software controlling them, are producing some amazing results that you can't really expect from film.