656016454656 has 792 divisors, whose sum is σ = 2123468387040. Its totient is φ = 202198892544.

The previous prime is 656016454619. The next prime is 656016454693. The reversal of 656016454656 is 656454610656.

656016454656 is a `hidden beast` number, since 6 + 560 + 16 + 4 + 5 + 4 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (656016454619) and next prime (656016454693).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6018499530 + ... + 6018499638.

Almost surely, 2^656016454656 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 656016454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061734193520).

656016454656 is an abundant number, since it is smaller than the sum of its proper divisors (1467451932384).

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

656016454656 is a wasteful number, since it uses less digits than its factorization.

656016454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 656016454656 in words is "six hundred fifty-six billion, sixteen million, four hundred fifty-four thousand, six hundred fifty-six".