564651156465 has 128 divisors (see below), whose sum is σ = 1119356444160. Its totient is φ = 267734937600.

The previous prime is 564651156389. The next prime is 564651156481.

564651156465 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 5 + 11 + 564 + 65 = 666.

564651156465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564651156465 - 2⁷ = 564651156337 is a prime.

It is a super-2 number, since 2×564651156465² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24623205 + ... + 24646125.

It is an arithmetic number, because the mean of its divisors is an integer number (8744972220).

Almost surely, 2^564651156465 is an apocalyptic number.

564651156465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564651156465 is a deficient number, since it is larger than the sum of its proper divisors (554705287695).

564651156465 is a wasteful number, since it uses less digits than its factorization.

564651156465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312 (or 23306 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 564651156465 in words is "five hundred sixty-four billion, six hundred fifty-one million, one hundred fifty-six thousand, four hundred sixty-five".