656516005656 has 64 divisors (see below), whose sum is σ = 1986098849280. Its totient is φ = 176542118400.

The previous prime is 656516005643. The next prime is 656516005679. The reversal of 656516005656 is 656500615656.

It is a super-4 number, since 4×656516005656⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 656516005599 and 656516005608.

It is a congruent 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, 114933420 + ... + 114939131.

It is an arithmetic number, because the mean of its divisors is an integer number (31032794520).

Almost surely, 2^656516005656 is an apocalyptic number.

It is an amenable number.

656516005656 is an abundant number, since it is smaller than the sum of its proper divisors (1329582843624).

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

656516005656 is a wasteful number, since it uses less digits than its factorization.

656516005656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229872584 (or 229872580 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 656516005656 in words is "six hundred fifty-six billion, five hundred sixteen million, five thousand, six hundred fifty-six".