656173142856 has 864 divisors, whose sum is σ = 2450016791040. Its totient is φ = 155105280000.

The previous prime is 656173142819. The next prime is 656173142857. The reversal of 656173142856 is 658241371656.

It is a happy number.

656173142856 is a `hidden beast` number, since 6 + 5 + 617 + 3 + 14 + 2 + 8 + 5 + 6 = 666.

656173142856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (656173142857) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 546355056 + ... + 546356256.

Almost surely, 2^656173142856 is an apocalyptic number.

656173142856 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 656173142856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225008395520).

656173142856 is an abundant number, since it is smaller than the sum of its proper divisors (1793843648184).

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

656173142856 is a wasteful number, since it uses less digits than its factorization.

656173142856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1272 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 656173142856 in words is "six hundred fifty-six billion, one hundred seventy-three million, one hundred forty-two thousand, eight hundred fifty-six".