564531868135465 has 16 divisors (see below), whose sum is σ = 724682267123472. Its totient is φ = 420677234417664.

The previous prime is 564531868135393. The next prime is 564531868135483.

564531868135465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 43508376903744 + 521023491231721 = 6596088^2 + 22825939^2 .

It is a cyclic number.

It is not a de Polignac number, because 564531868135465 - 2⁷ = 564531868135337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 564531868135394 and 564531868135403.

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, 34234792734 + ... + 34234809223.

It is an arithmetic number, because the mean of its divisors is an integer number (45292641695217).

Almost surely, 2^{564531868135465} is an apocalyptic number.

It is an amenable number.

564531868135465 is a deficient number, since it is larger than the sum of its proper divisors (160150398988007).

564531868135465 is a wasteful number, since it uses less digits than its factorization.

564531868135465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68469602076.

The product of its digits is 1244160000, while the sum is 70.

The spelling of 564531868135465 in words is "five hundred sixty-four trillion, five hundred thirty-one billion, eight hundred sixty-eight million, one hundred thirty-five thousand, four hundred sixty-five".