465424565424564 has 48 divisors (see below), whose sum is σ = 1115353557842048. Its totient is φ = 150946909838208.

The previous prime is 465424565424557. The next prime is 465424565424641.

465424565424564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×465424565424564² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465424565424495 and 465424565424504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36806922 + ... + 47807934.

Almost surely, 2^{465424565424564} is an apocalyptic number.

It is an amenable number.

465424565424564 is an abundant number, since it is smaller than the sum of its proper divisors (649928992417484).

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

465424565424564 is a wasteful number, since it uses less digits than its factorization.

465424565424564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11096344 (or 11096342 counting only the distinct ones).

The product of its digits is 2211840000, while the sum is 66.

The spelling of 465424565424564 in words is "four hundred sixty-five trillion, four hundred twenty-four billion, five hundred sixty-five million, four hundred twenty-four thousand, five hundred sixty-four".