118111418880 has 640 divisors, whose sum is σ = 474344640000. Its totient is φ = 24912986112.

The previous prime is 118111418851. The next prime is 118111418923. The reversal of 118111418880 is 88814111811.

118111418880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34243396 + ... + 34246844.

It is an arithmetic number, because the mean of its divisors is an integer number (741163500).

Almost surely, 2^118111418880 is an apocalyptic number.

118111418880 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 118111418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237172320000).

118111418880 is an abundant number, since it is smaller than the sum of its proper divisors (356233221120).

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

118111418880 is an equidigital number, since it uses as much as digits as its factorization.

118111418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 42.

The spelling of 118111418880 in words is "one hundred eighteen billion, one hundred eleven million, four hundred eighteen thousand, eight hundred eighty".