656157412416 has 224 divisors, whose sum is σ = 2033567078400. Its totient is φ = 184502886400.

The previous prime is 656157412397. The next prime is 656157412447. The reversal of 656157412416 is 614214751656.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420485 + ... + 2677883.

Almost surely, 2^656157412416 is an apocalyptic number.

656157412416 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 656157412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016783539200).

656157412416 is an abundant number, since it is smaller than the sum of its proper divisors (1377409665984).

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

656157412416 is a wasteful number, since it uses less digits than its factorization.

656157412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257513 (or 257503 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 656157412416 in words is "six hundred fifty-six billion, one hundred fifty-seven million, four hundred twelve thousand, four hundred sixteen".