118391953680 has 1440 divisors, whose sum is σ = 561642052608. Its totient is φ = 21946982400.

The previous prime is 118391953663. The next prime is 118391953747. The reversal of 118391953680 is 86359193811.

118391953680 is a `hidden beast` number, since 1 + 18 + 3 + 9 + 19 + 536 + 80 = 666.

118391953680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 156395862 + ... + 156396618.

Almost surely, 2^118391953680 is an apocalyptic number.

118391953680 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 118391953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280821026304).

118391953680 is an abundant number, since it is smaller than the sum of its proper divisors (443250098928).

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

118391953680 is a wasteful number, since it uses less digits than its factorization.

118391953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 118391953680 in words is "one hundred eighteen billion, three hundred ninety-one million, nine hundred fifty-three thousand, six hundred eighty".