656957195136 has 768 divisors, whose sum is σ = 2245234118400. Its totient is φ = 189371105280.

The previous prime is 656957195129. The next prime is 656957195171. The reversal of 656957195136 is 631591759656.

656957195136 is a `hidden beast` number, since 6 + 5 + 6 + 9 + 571 + 9 + 51 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 724318395 + ... + 724319301.

It is an arithmetic number, because the mean of its divisors is an integer number (2923481925).

Almost surely, 2^656957195136 is an apocalyptic number.

656957195136 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 656957195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122617059200).

656957195136 is an abundant number, since it is smaller than the sum of its proper divisors (1588276923264).

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

656957195136 is a wasteful number, since it uses less digits than its factorization.

656957195136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1025 counting only the distinct ones).

The product of its digits is 45927000, while the sum is 63.

The spelling of 656957195136 in words is "six hundred fifty-six billion, nine hundred fifty-seven million, one hundred ninety-five thousand, one hundred thirty-six".