116318117325312 has 800 divisors, whose sum is σ = 402901397184000. Its totient is φ = 33131944968192.

The previous prime is 116318117325307. The next prime is 116318117325329. The reversal of 116318117325312 is 213523711813611.

116318117325312 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 1 + 8 + 1 + 1 + 7 + 325 + 312 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11185504689 + ... + 11185515087.

It is an arithmetic number, because the mean of its divisors is an integer number (503626746480).

Almost surely, 2^{116318117325312} is an apocalyptic number.

116318117325312 is a gapful number since it is divisible by the number (12) 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 116318117325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201450698592000).

116318117325312 is an abundant number, since it is smaller than the sum of its proper divisors (286583279858688).

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

116318117325312 is an frugal number, since it uses more digits than its factorization.

116318117325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10748 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 116318117325312 in words is "one hundred sixteen trillion, three hundred eighteen billion, one hundred seventeen million, three hundred twenty-five thousand, three hundred twelve".