46565977956564 has 96 divisors (see below), whose sum is σ = 121739381568000. Its totient is φ = 13729047903360.

The previous prime is 46565977956559. The next prime is 46565977956607.

It is a happy number.

46565977956564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46565977956564² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154667527 + ... + 154968305.

It is an arithmetic number, because the mean of its divisors is an integer number (1268118558000).

Almost surely, 2^{46565977956564} is an apocalyptic number.

46565977956564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46565977956564 is an abundant number, since it is smaller than the sum of its proper divisors (75173403611436).

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

46565977956564 is a wasteful number, since it uses less digits than its factorization.

46565977956564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332533 (or 332531 counting only the distinct ones).

The product of its digits is 51438240000, while the sum is 84.

The spelling of 46565977956564 in words is "forty-six trillion, five hundred sixty-five billion, nine hundred seventy-seven million, nine hundred fifty-six thousand, five hundred sixty-four".