465422464224564 has 144 divisors (see below), whose sum is σ = 1389523589850816. Its totient is φ = 120888951543360.

The previous prime is 465422464224493. The next prime is 465422464224569.

465422464224564 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 465422464224498 and 465422464224507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465422464224569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296563279 + ... + 298128534.

It is an arithmetic number, because the mean of its divisors is an integer number (9649469373964).

Almost surely, 2^{465422464224564} is an apocalyptic number.

465422464224564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465422464224564 is an abundant number, since it is smaller than the sum of its proper divisors (924101125626252).

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

465422464224564 is a wasteful number, since it uses less digits than its factorization.

465422464224564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594691867 (or 594691836 counting only the distinct ones).

The product of its digits is 353894400, while the sum is 60.

The spelling of 465422464224564 in words is "four hundred sixty-five trillion, four hundred twenty-two billion, four hundred sixty-four million, two hundred twenty-four thousand, five hundred sixty-four".