117811888128 has 720 divisors, whose sum is σ = 401634293760. Its totient is φ = 34062336000.

The previous prime is 117811888087. The next prime is 117811888151. The reversal of 117811888128 is 821888118711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1659322333 + ... + 1659322403.

It is an arithmetic number, because the mean of its divisors is an integer number (557825408).

Almost surely, 2^117811888128 is an apocalyptic number.

117811888128 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 117811888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200817146880).

117811888128 is an abundant number, since it is smaller than the sum of its proper divisors (283822405632).

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

117811888128 is an equidigital number, since it uses as much as digits as its factorization.

117811888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its digits is 458752, while the sum is 54.

The spelling of 117811888128 in words is "one hundred seventeen billion, eight hundred eleven million, eight hundred eighty-eight thousand, one hundred twenty-eight".