117716856768 has 840 divisors, whose sum is σ = 423804648960. Its totient is φ = 32188907520.

The previous prime is 117716856739. The next prime is 117716856773. The reversal of 117716856768 is 867658617711.

117716856768 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 1 + 6 + 8 + 567 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 926904321 + ... + 926904447.

It is an arithmetic number, because the mean of its divisors is an integer number (504529344).

Almost surely, 2^117716856768 is an apocalyptic number.

117716856768 is a gapful number since it is divisible by the number (18) 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 117716856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211902324480).

117716856768 is an abundant number, since it is smaller than the sum of its proper divisors (306087792192).

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

117716856768 is a wasteful number, since it uses less digits than its factorization.

117716856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 117716856768 in words is "one hundred seventeen billion, seven hundred sixteen million, eight hundred fifty-six thousand, seven hundred sixty-eight".