564606606465 has 64 divisors (see below), whose sum is σ = 1098732660480. Its totient is φ = 272814151680.

The previous prime is 564606606413. The next prime is 564606606469.

564606606465 is a `hidden beast` number, since 5 + 6 + 460 + 6 + 60 + 64 + 65 = 666.

564606606465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564606606465 - 2¹⁶ = 564606540929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564606606469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213712 + ... + 1083921.

It is an arithmetic number, because the mean of its divisors is an integer number (17167697820).

Almost surely, 2^564606606465 is an apocalyptic number.

564606606465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564606606465 is a deficient number, since it is larger than the sum of its proper divisors (534126054015).

564606606465 is a wasteful number, since it uses less digits than its factorization.

564606606465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297951 (or 1297945 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 564606606465 in words is "five hundred sixty-four billion, six hundred six million, six hundred six thousand, four hundred sixty-five".