46477599577464 has 32 divisors (see below), whose sum is σ = 126757089757440. Its totient is φ = 14084121084000.

The previous prime is 46477599577457. The next prime is 46477599577511.

46477599577464 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88025756512 + ... + 88025757039.

It is an arithmetic number, because the mean of its divisors is an integer number (3961159054920).

Almost surely, 2^{46477599577464} is an apocalyptic number.

46477599577464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46477599577464 is an abundant number, since it is smaller than the sum of its proper divisors (80279490179976).

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

46477599577464 is a wasteful number, since it uses less digits than its factorization.

46477599577464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176051513571 (or 176051513567 counting only the distinct ones).

The product of its digits is 44808422400, while the sum is 84.

The spelling of 46477599577464 in words is "forty-six trillion, four hundred seventy-seven billion, five hundred ninety-nine million, five hundred seventy-seven thousand, four hundred sixty-four".