117815876895024 has 2160 divisors, whose sum is σ = 457166026287360. Its totient is φ = 28538523417600.

The previous prime is 117815876894999. The next prime is 117815876895029. The reversal of 117815876895024 is 420598678518711.

117815876895024 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 1 + 58 + 7 + 68 + 9 + 502 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117815876895029) 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 431 ways as a sum of consecutive naturals, for example, 225269362827 + ... + 225269363349.

It is an arithmetic number, because the mean of its divisors is an integer number (211650938096).

Almost surely, 2^{117815876895024} is an apocalyptic number.

117815876895024 is a gapful number since it is divisible by the number (14) 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 117815876895024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228583013143680).

117815876895024 is an abundant number, since it is smaller than the sum of its proper divisors (339350149392336).

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

117815876895024 is an equidigital number, since it uses as much as digits as its factorization.

117815876895024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 72.

The spelling of 117815876895024 in words is "one hundred seventeen trillion, eight hundred fifteen billion, eight hundred seventy-six million, eight hundred ninety-five thousand, twenty-four".