117381807341568 has 1440 divisors, whose sum is σ = 440801885018880. Its totient is φ = 30240134922240.

The previous prime is 117381807341563. The next prime is 117381807341569. The reversal of 117381807341568 is 865143708183711.

117381807341568 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 81 + 80 + 7 + 3 + 415 + 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 not an unprimeable number, because it can be changed into a prime (117381807341563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113631952380 + ... + 113631953412.

It is an arithmetic number, because the mean of its divisors is an integer number (306112420152).

Almost surely, 2^{117381807341568} is an apocalyptic number.

117381807341568 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 117381807341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220400942509440).

117381807341568 is an abundant number, since it is smaller than the sum of its proper divisors (323420077677312).

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

117381807341568 is an equidigital number, since it uses as much as digits as its factorization.

117381807341568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 117381807341568 in words is "one hundred seventeen trillion, three hundred eighty-one billion, eight hundred seven million, three hundred forty-one thousand, five hundred sixty-eight".