118814400 has 252 divisors, whose sum is σ = 435652672. Its totient is φ = 30689280.

The previous prime is 118814357. The next prime is 118814407. The reversal of 118814400 is 4418811.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (118814407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532689 + ... + 532911.

Almost surely, 2^118814400 is an apocalyptic number.

118814400 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 118814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217826336).

118814400 is an abundant number, since it is smaller than the sum of its proper divisors (316838272).

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

118814400 is a wasteful number, since it uses less digits than its factorization.

118814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 118814400 is about 10900.2018329937. The cubic root of 118814400 is about 491.6126238918.

The spelling of 118814400 in words is "one hundred eighteen million, eight hundred fourteen thousand, four hundred".