118361713267200 has 1920 divisors, whose sum is σ = 472905701097984. Its totient is φ = 25796542464000.

The previous prime is 118361713267199. The next prime is 118361713267207. The reversal of 118361713267200 is 2762317163811.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 118361713267200.

It is not an unprimeable number, because it can be changed into a prime (118361713267207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11906414230 + ... + 11906424170.

Almost surely, 2^{118361713267200} is an apocalyptic number.

118361713267200 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 118361713267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236452850548992).

118361713267200 is an abundant number, since it is smaller than the sum of its proper divisors (354543987830784).

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

118361713267200 is a wasteful number, since it uses less digits than its factorization.

118361713267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 118361713267200 in words is "one hundred eighteen trillion, three hundred sixty-one billion, seven hundred thirteen million, two hundred sixty-seven thousand, two hundred".