118956157979904 has 432 divisors, whose sum is σ = 398823675868800. Its totient is φ = 33394405883904.

The previous prime is 118956157979899. The next prime is 118956157979921. The reversal of 118956157979904 is 409979751659811.

118956157979904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1930668202 + ... + 1930729814.

It is an arithmetic number, because the mean of its divisors is an integer number (923202953400).

Almost surely, 2^{118956157979904} is an apocalyptic number.

118956157979904 is a gapful number since it is divisible by the number (14) 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 118956157979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199411837934400).

118956157979904 is an abundant number, since it is smaller than the sum of its proper divisors (279867517888896).

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

118956157979904 is a wasteful number, since it uses less digits than its factorization.

118956157979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63730 (or 63713 counting only the distinct ones).

The product of its (nonzero) digits is 1543147200, while the sum is 81.

The spelling of 118956157979904 in words is "one hundred eighteen trillion, nine hundred fifty-six billion, one hundred fifty-seven million, nine hundred seventy-nine thousand, nine hundred four".