460956617616 has 80 divisors (see below), whose sum is σ = 1323570196800. Its totient is φ = 137048271360.

The previous prime is 460956617603. The next prime is 460956617621. The reversal of 460956617616 is 616716659064.

460956617616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8208091 + ... + 8264058.

It is an arithmetic number, because the mean of its divisors is an integer number (16544627460).

Almost surely, 2^460956617616 is an apocalyptic number.

It is an amenable number.

460956617616 is an abundant number, since it is smaller than the sum of its proper divisors (862613579184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460956617616 is a wasteful number, since it uses less digits than its factorization.

460956617616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16472224 (or 16472218 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 460956617616 in words is "four hundred sixty billion, nine hundred fifty-six million, six hundred seventeen thousand, six hundred sixteen".