117863686568160 has 432 divisors, whose sum is σ = 457146251531424. Its totient is φ = 27485619259392.

The previous prime is 117863686568137. The next prime is 117863686568161. The reversal of 117863686568160 is 61865686368711.

117863686568160 is a `hidden beast` number, since 1 + 1 + 7 + 86 + 368 + 6 + 56 + 81 + 60 = 666.

It is a super-2 number, since 2×117863686568160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117863686568161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1962492 + ... + 15478331.

It is an arithmetic number, because the mean of its divisors is an integer number (1058208915582).

Almost surely, 2^{117863686568160} is an apocalyptic number.

117863686568160 is a gapful number since it is divisible by the number (10) 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 117863686568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228573125765712).

117863686568160 is an abundant number, since it is smaller than the sum of its proper divisors (339282564963264).

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

117863686568160 is a wasteful number, since it uses less digits than its factorization.

117863686568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17440895 (or 17440865 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 117863686568160 in words is "one hundred seventeen trillion, eight hundred sixty-three billion, six hundred eighty-six million, five hundred sixty-eight thousand, one hundred sixty".