656665114560 has 1792 divisors, whose sum is σ = 2861003980800. Its totient is φ = 123664859136.

The previous prime is 656665114541. The next prime is 656665114579. The reversal of 656665114560 is 65411566656.

It is an interprime number because it is at equal distance from previous prime (656665114541) and next prime (656665114579).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3402409824 + ... + 3402410016.

It is an arithmetic number, because the mean of its divisors is an integer number (1596542400).

Almost surely, 2^656665114560 is an apocalyptic number.

656665114560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656665114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430501990400).

656665114560 is an abundant number, since it is smaller than the sum of its proper divisors (2204338866240).

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

656665114560 is a wasteful number, since it uses less digits than its factorization.

656665114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 656665114560 in words is "six hundred fifty-six billion, six hundred sixty-five million, one hundred fourteen thousand, five hundred sixty".