564856658465 has 32 divisors (see below), whose sum is σ = 755522812800. Its totient is φ = 401957107200.

The previous prime is 564856658449. The next prime is 564856658533.

It is a happy number.

564856658465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564856658465 - 2⁴ = 564856658449 is a prime.

It is a super-2 number, since 2×564856658465² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564856658395 and 564856658404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34685 + ... + 1063445.

It is an arithmetic number, because the mean of its divisors is an integer number (23610087900).

Almost surely, 2^564856658465 is an apocalyptic number.

564856658465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564856658465 is a deficient number, since it is larger than the sum of its proper divisors (190666154335).

564856658465 is a wasteful number, since it uses less digits than its factorization.

564856658465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028993.

The product of its digits is 829440000, while the sum is 68.

The spelling of 564856658465 in words is "five hundred sixty-four billion, eight hundred fifty-six million, six hundred fifty-eight thousand, four hundred sixty-five".