564224464422465 has 96 divisors (see below), whose sum is σ = 1153265638855680. Its totient is φ = 230508607655040.

The previous prime is 564224464422457. The next prime is 564224464422497.

564224464422465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564224464422465 - 2³ = 564224464422457 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 564224464422399 and 564224464422408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375603279 + ... + 377102468.

It is an arithmetic number, because the mean of its divisors is an integer number (12013183738080).

Almost surely, 2^{564224464422465} is an apocalyptic number.

564224464422465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564224464422465 is an abundant number, since it is smaller than the sum of its proper divisors (589041174433215).

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

564224464422465 is a wasteful number, since it uses less digits than its factorization.

564224464422465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752705843 (or 752705832 counting only the distinct ones).

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

The spelling of 564224464422465 in words is "five hundred sixty-four trillion, two hundred twenty-four billion, four hundred sixty-four million, four hundred twenty-two thousand, four hundred sixty-five".