656321331456 has 432 divisors, whose sum is σ = 2241823094784. Its totient is φ = 180777332736.

The previous prime is 656321331439. The next prime is 656321331481. The reversal of 656321331456 is 654133123656.

656321331456 is a `hidden beast` number, since 6 + 5 + 6 + 321 + 3 + 314 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50780611 + ... + 50793533.

It is an arithmetic number, because the mean of its divisors is an integer number (5189405312).

Almost surely, 2^656321331456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656321331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120911547392).

656321331456 is an abundant number, since it is smaller than the sum of its proper divisors (1585501763328).

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

656321331456 is a wasteful number, since it uses less digits than its factorization.

656321331456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13066 (or 13049 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 656321331456 in words is "six hundred fifty-six billion, three hundred twenty-one million, three hundred thirty-one thousand, four hundred fifty-six".