656345801882496 has 1536 divisors, whose sum is σ = 2067082285363200. Its totient is φ = 182827155456000.

The previous prime is 656345801882471. The next prime is 656345801882509. The reversal of 656345801882496 is 694288108543656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1081294566225 + ... + 1081294566831.

It is an arithmetic number, because the mean of its divisors is an integer number (1345756696200).

Almost surely, 2^{656345801882496} is an apocalyptic number.

656345801882496 is a gapful number since it is divisible by the number (66) 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 656345801882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033541142681600).

656345801882496 is an abundant number, since it is smaller than the sum of its proper divisors (1410736483480704).

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

656345801882496 is a wasteful number, since it uses less digits than its factorization.

656345801882496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2388787200, while the sum is 75.

The spelling of 656345801882496 in words is "six hundred fifty-six trillion, three hundred forty-five billion, eight hundred one million, eight hundred eighty-two thousand, four hundred ninety-six".