4656520256564 has 18 divisors (see below), whose sum is σ = 8957066858082. Its totient is φ = 2116600116400.

The previous prime is 4656520256543. The next prime is 4656520256653.

4656520256564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4656497883664 + 22372900 = 2157892^2 + 4730^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4810454327 + ... + 4810455294.

It is an arithmetic number, because the mean of its divisors is an integer number (497614825449).

Almost surely, 2^{4656520256564} is an apocalyptic number.

4656520256564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4656520256564 is a deficient number, since it is larger than the sum of its proper divisors (4300546601518).

4656520256564 is a wasteful number, since it uses less digits than its factorization.

4656520256564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620909647 (or 9620909634 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 56.

The spelling of 4656520256564 in words is "four trillion, six hundred fifty-six billion, five hundred twenty million, two hundred fifty-six thousand, five hundred sixty-four".