564642246465 has 128 divisors (see below), whose sum is σ = 1138533580800. Its totient is φ = 263025792000.

The previous prime is 564642246451. The next prime is 564642246491.

564642246465 is a `hidden beast` number, since 5 + 64 + 64 + 2 + 2 + 464 + 65 = 666.

564642246465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564642246465 - 2⁹ = 564642245953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6354745 + ... + 6442985.

It is an arithmetic number, because the mean of its divisors is an integer number (8894793600).

Almost surely, 2^564642246465 is an apocalyptic number.

564642246465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564642246465 is an abundant number, since it is smaller than the sum of its proper divisors (573891334335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564642246465 is a wasteful number, since it uses less digits than its factorization.

564642246465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88436 (or 88430 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 564642246465 in words is "five hundred sixty-four billion, six hundred forty-two million, two hundred forty-six thousand, four hundred sixty-five".