465525525564 has 48 divisors (see below), whose sum is σ = 1316637853440. Its totient is φ = 141068340720.

The previous prime is 465525525523. The next prime is 465525525581.

It is a happy number.

465525525564 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 2 + 55 + 25 + 564 = 666.

465525525564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 465525525564.

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, 195927064 + ... + 195929439.

It is an arithmetic number, because the mean of its divisors is an integer number (27429955280).

Almost surely, 2^465525525564 is an apocalyptic number.

465525525564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465525525564 is an abundant number, since it is smaller than the sum of its proper divisors (851112327876).

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

465525525564 is a wasteful number, since it uses less digits than its factorization.

465525525564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391856527 (or 391856519 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 465525525564 in words is "four hundred sixty-five billion, five hundred twenty-five million, five hundred twenty-five thousand, five hundred sixty-four".