564336633465 has 128 divisors (see below), whose sum is σ = 1150196889600. Its totient is φ = 260030373120.

The previous prime is 564336633457. The next prime is 564336633467.

It is a happy number.

564336633465 is a `hidden beast` number, since 5 + 64 + 33 + 66 + 33 + 465 = 666.

564336633465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564336633465 - 2³ = 564336633457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564336633467) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2243206 + ... + 2482064.

It is an arithmetic number, because the mean of its divisors is an integer number (8985913200).

Almost surely, 2^564336633465 is an apocalyptic number.

564336633465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564336633465 is an abundant number, since it is smaller than the sum of its proper divisors (585860256135).

564336633465 is a wasteful number, since it uses less digits than its factorization.

564336633465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238964 (or 238958 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 564336633465 in words is "five hundred sixty-four billion, three hundred thirty-six million, six hundred thirty-three thousand, four hundred sixty-five".