465626626564 has 24 divisors (see below), whose sum is σ = 935709012000. Its totient is φ = 200509073280.

The previous prime is 465626626541. The next prime is 465626626567.

465626626564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465626626499 and 465626626508.

It is not an unprimeable number, because it can be changed into a prime (465626626567) 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, 278483989 + ... + 278485660.

It is an arithmetic number, because the mean of its divisors is an integer number (38987875500).

Almost surely, 2^465626626564 is an apocalyptic number.

465626626564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465626626564 is an abundant number, since it is smaller than the sum of its proper divisors (470082385436).

465626626564 is a wasteful number, since it uses less digits than its factorization.

465626626564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556969683 (or 556969681 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 58.

The spelling of 465626626564 in words is "four hundred sixty-five billion, six hundred twenty-six million, six hundred twenty-six thousand, five hundred sixty-four".