117181209953808 has 5760 divisors, whose sum is σ = 531300434595840. Its totient is φ = 23992978636800.

The previous prime is 117181209953783. The next prime is 117181209953861. The reversal of 117181209953808 is 808359902181711.

117181209953808 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 8 + 1 + 2 + 0 + 99 + 538 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1208053710816 + ... + 1208053710912.

It is an arithmetic number, because the mean of its divisors is an integer number (92239658784).

Almost surely, 2^{117181209953808} is an apocalyptic number.

117181209953808 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 117181209953808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265650217297920).

117181209953808 is an abundant number, since it is smaller than the sum of its proper divisors (414119224642032).

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

117181209953808 is a wasteful number, since it uses less digits than its factorization.

117181209953808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 117181209953808 in words is "one hundred seventeen trillion, one hundred eighty-one billion, two hundred nine million, nine hundred fifty-three thousand, eight hundred eight".