465816484618564 has 12 divisors (see below), whose sum is σ = 823249925786988. Its totient is φ = 230602220108000.

The previous prime is 465816484618393. The next prime is 465816484618603.

465816484618564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 250660393378564 + 215156091240000 = 15832258^2 + 14668200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 576505549867 + ... + 576505550674.

It is an arithmetic number, because the mean of its divisors is an integer number (68604160482249).

Almost surely, 2^{465816484618564} is an apocalyptic number.

It is an amenable number.

465816484618564 is a deficient number, since it is larger than the sum of its proper divisors (357433441168424).

465816484618564 is a wasteful number, since it uses less digits than its factorization.

465816484618564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153011100646 (or 1153011100644 counting only the distinct ones).

The product of its digits is 4246732800, while the sum is 76.

The spelling of 465816484618564 in words is "four hundred sixty-five trillion, eight hundred sixteen billion, four hundred eighty-four million, six hundred eighteen thousand, five hundred sixty-four".