6564114656 has 48 divisors (see below), whose sum is σ = 14105508480. Its totient is φ = 2982084480.

The previous prime is 6564114653. The next prime is 6564114659.

6564114656 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6564114653) and next prime (6564114659).

It is a super-2 number, since 2×6564114656² = 86175202434227996672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564114653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864605 + ... + 872163.

It is an arithmetic number, because the mean of its divisors is an integer number (293864760).

Almost surely, 2^6564114656 is an apocalyptic number.

It is an amenable number.

6564114656 is an abundant number, since it is smaller than the sum of its proper divisors (7541393824).

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

6564114656 is a wasteful number, since it uses less digits than its factorization.

6564114656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10039 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 6564114656 is about 81019.2239903592. The cubic root of 6564114656 is about 1872.3716328193.

The spelling of 6564114656 in words is "six billion, five hundred sixty-four million, one hundred fourteen thousand, six hundred fifty-six".