564218123616001 has 16 divisors (see below), whose sum is σ = 597347379201600. Its totient is φ = 532118053067328.

The previous prime is 564218123615933. The next prime is 564218123616061. The reversal of 564218123616001 is 100616321812465.

It is not a de Polignac number, because 564218123616001 - 2¹¹ = 564218123613953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564218123616061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049920155 + ... + 1050457408.

It is an arithmetic number, because the mean of its divisors is an integer number (37334211200100).

Almost surely, 2^{564218123616001} is an apocalyptic number.

It is an amenable number.

564218123616001 is a deficient number, since it is larger than the sum of its proper divisors (33129255585599).

564218123616001 is a wasteful number, since it uses less digits than its factorization.

564218123616001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100377808.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 564218123616001 in words is "five hundred sixty-four trillion, two hundred eighteen billion, one hundred twenty-three million, six hundred sixteen thousand, one".