465513585315564 has 192 divisors, whose sum is σ = 1163367038582784. Its totient is φ = 144607680000000.

The previous prime is 465513585315551. The next prime is 465513585315589.

It is a happy number.

465513585315564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×465513585315564² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465513585315495 and 465513585315504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3893789589 + ... + 3893909139.

It is an arithmetic number, because the mean of its divisors is an integer number (6059203325952).

Almost surely, 2^{465513585315564} is an apocalyptic number.

It is an amenable number.

465513585315564 is an abundant number, since it is smaller than the sum of its proper divisors (697853453267220).

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

465513585315564 is a wasteful number, since it uses less digits than its factorization.

465513585315564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122528 (or 122526 counting only the distinct ones).

The product of its digits is 648000000, while the sum is 66.

The spelling of 465513585315564 in words is "four hundred sixty-five trillion, five hundred thirteen billion, five hundred eighty-five million, three hundred fifteen thousand, five hundred sixty-four".