564415514465 has 16 divisors (see below), whose sum is σ = 738899573760. Its totient is φ = 410468257920.

The previous prime is 564415514459. The next prime is 564415514477.

564415514465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564415514465 - 2³² = 560120547169 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360256 + ... + 1726014.

It is an arithmetic number, because the mean of its divisors is an integer number (46181223360).

Almost surely, 2^564415514465 is an apocalyptic number.

564415514465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564415514465 is a deficient number, since it is larger than the sum of its proper divisors (174484059295).

564415514465 is a wasteful number, since it uses less digits than its factorization.

564415514465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393832.

The product of its digits is 5760000, while the sum is 50.

The spelling of 564415514465 in words is "five hundred sixty-four billion, four hundred fifteen million, five hundred fourteen thousand, four hundred sixty-five".