118942214400 has 405 divisors, whose sum is σ = 440703605881. Its totient is φ = 31651706880.

The previous prime is 118942214389. The next prime is 118942214407. The reversal of 118942214400 is 4412249811.

The square root of 118942214400 is 344880.

It is a perfect power (a square), and thus also a powerful number.

118942214400 is a `hidden beast` number, since 1 + 189 + 422 + 14 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42819197184 + 76123017216 = 206928^2 + 275904^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118942214407) 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 44 ways as a sum of consecutive naturals, for example, 248313361 + ... + 248313839.

Almost surely, 2^118942214400 is an apocalyptic number.

118942214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118942214400 is the 344880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118942214400

118942214400 is an abundant number, since it is smaller than the sum of its proper divisors (321761391481).

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

118942214400 is an frugal number, since it uses more digits than its factorization.

118942214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 118942214400 by its sum of digits (36), we get a square (4281919718400 = 2069280²).

118942214400 divided by its sum of digits (36) gives a square (3303950400 = 57480²).

The spelling of 118942214400 in words is "one hundred eighteen billion, nine hundred forty-two million, two hundred fourteen thousand, four hundred".