46657875664 has 40 divisors (see below), whose sum is σ = 90683307008. Its totient is φ = 23255856000.

The previous prime is 46657875661. The next prime is 46657875707.

46657875664 is nontrivially palindromic in base 10.

46657875664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46657875664² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46657875596 and 46657875605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46657875661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7290514 + ... + 7296910.

Almost surely, 2^46657875664 is an apocalyptic number.

It is an amenable number.

46657875664 is a deficient number, since it is larger than the sum of its proper divisors (44025431344).

46657875664 is a wasteful number, since it uses less digits than its factorization.

46657875664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7757 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 64.

The spelling of 46657875664 in words is "forty-six billion, six hundred fifty-seven million, eight hundred seventy-five thousand, six hundred sixty-four".