118114304 has 144 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 45588480.

The previous prime is 118114301. The next prime is 118114313. The reversal of 118114304 is 403411811.

It is a happy number.

It is a partition number, being equal to the number of ways a set of 96 identical objects can be partitioned into subset.

It is a self number, because there is not a number n which added to its sum of digits gives 118114304.

It is not an unprimeable number, because it can be changed into a prime (118114301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1103819 + ... + 1103925.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^118114304 is an apocalyptic number.

118114304 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 118114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

118114304 is an abundant number, since it is smaller than the sum of its proper divisors (184391536).

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

118114304 is a wasteful number, since it uses less digits than its factorization.

118114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 118114304 is about 10868.0404857546. The cubic root of 118114304 is about 490.6451366314.

The spelling of 118114304 in words is "one hundred eighteen million, one hundred fourteen thousand, three hundred four".