118479306432400 has 135 divisors (see below), whose sum is σ = 288993976464081. Its totient is φ = 46678636245120.

The previous prime is 118479306432371. The next prime is 118479306432481. The reversal of 118479306432400 is 4234603974811.

It is a happy number.

The square root of 118479306432400 is 10884820.

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

It can be written as a sum of positive squares in only one way, i.e., 42652550315664 + 75826756116736 = 6530892^2 + 8707856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14585654739 + ... + 14585662861.

Almost surely, 2^{118479306432400} is an apocalyptic number.

118479306432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118479306432400 is the 10884820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118479306432400

118479306432400 is an abundant number, since it is smaller than the sum of its proper divisors (170514670031681).

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

118479306432400 is an frugal number, since it uses more digits than its factorization.

118479306432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16398 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 118479306432400 in words is "one hundred eighteen trillion, four hundred seventy-nine billion, three hundred six million, four hundred thirty-two thousand, four hundred".