46716895600416 has 60 divisors (see below), whose sum is σ = 137393092276902. Its totient is φ = 15572298532608.

The previous prime is 46716895600351. The next prime is 46716895600421. The reversal of 46716895600416 is 61400659861764.

It is a happy number.

46716895600416 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 6 + 8 + 9 + 5 + 600 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39307633376400 + 7409262224016 = 6269580^2 + 2721996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9011744245 + ... + 9011749428.

Almost surely, 2^{46716895600416} is an apocalyptic number.

It is an amenable number.

46716895600416 is an abundant number, since it is smaller than the sum of its proper divisors (90676196676486).

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

46716895600416 is a wasteful number, since it uses less digits than its factorization.

46716895600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18023493695 (or 18023493678 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 46716895600416 in words is "forty-six trillion, seven hundred sixteen billion, eight hundred ninety-five million, six hundred thousand, four hundred sixteen".