118133779954176 has 480 divisors, whose sum is σ = 412946842746240. Its totient is φ = 32663692247040.

The previous prime is 118133779954163. The next prime is 118133779954187. The reversal of 118133779954176 is 671459977331811.

118133779954176 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 3 + 3 + 7 + 7 + 9 + 9 + 541 + 76 = 666.

118133779954176 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92358880 + ... + 93629216.

It is an arithmetic number, because the mean of its divisors is an integer number (860305922388).

Almost surely, 2^{118133779954176} is an apocalyptic number.

118133779954176 is a gapful number since it is divisible by the number (16) 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 118133779954176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206473421373120).

118133779954176 is an abundant number, since it is smaller than the sum of its proper divisors (294813062792064).

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

118133779954176 is an equidigital number, since it uses as much as digits as its factorization.

118133779954176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270433 (or 1270380 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 72.

The spelling of 118133779954176 in words is "one hundred eighteen trillion, one hundred thirty-three billion, seven hundred seventy-nine million, nine hundred fifty-four thousand, one hundred seventy-six".