6564144414656 has 28 divisors (see below), whose sum is σ = 13026388415040. Its totient is φ = 3281904814080.

The previous prime is 6564144414637. The next prime is 6564144414671.

6564144414656 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1346096 + ... + 3865263.

It is an arithmetic number, because the mean of its divisors is an integer number (465228157680).

Almost surely, 2^{6564144414656} is an apocalyptic number.

It is an amenable number.

6564144414656 is a deficient number, since it is larger than the sum of its proper divisors (6462244000384).

6564144414656 is a wasteful number, since it uses less digits than its factorization.

6564144414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231052 (or 5231042 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 56.

The spelling of 6564144414656 in words is "six trillion, five hundred sixty-four billion, one hundred forty-four million, four hundred fourteen thousand, six hundred fifty-six".