117461568000 has 1280 divisors, whose sum is σ = 486454864896. Its totient is φ = 24536678400.

The previous prime is 117461567999. The next prime is 117461568041. The reversal of 117461568000 is 865164711.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 117461568000.

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 127 ways as a sum of consecutive naturals, for example, 1210943952 + ... + 1210944048.

Almost surely, 2^117461568000 is an apocalyptic number.

117461568000 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 117461568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243227432448).

117461568000 is an abundant number, since it is smaller than the sum of its proper divisors (368993296896).

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

117461568000 is an equidigital number, since it uses as much as digits as its factorization.

117461568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 117461568000 in words is "one hundred seventeen billion, four hundred sixty-one million, five hundred sixty-eight thousand".