465222464222564 has 24 divisors (see below), whose sum is σ = 840405551209728. Its totient is φ = 225106658169120.

The previous prime is 465222464222539. The next prime is 465222464222569.

465222464222564 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×465222464222564³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (465222464222569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20620739 + ... + 36819285.

It is an arithmetic number, because the mean of its divisors is an integer number (35016897967072).

Almost surely, 2^{465222464222564} is an apocalyptic number.

It is an amenable number.

465222464222564 is a deficient number, since it is larger than the sum of its proper divisors (375183086987164).

465222464222564 is a wasteful number, since it uses less digits than its factorization.

465222464222564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16430195 (or 16430193 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 56.

The spelling of 465222464222564 in words is "four hundred sixty-five trillion, two hundred twenty-two billion, four hundred sixty-four million, two hundred twenty-two thousand, five hundred sixty-four".