118165790400000 has 960 divisors, whose sum is σ = 452940064980480. Its totient is φ = 26813952000000.

The previous prime is 118165790399999. The next prime is 118165790400067. The reversal of 118165790400000 is 4097561811.

118165790400000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4670387350 + ... + 4670412650.

It is an arithmetic number, because the mean of its divisors is an integer number (471812567688).

Almost surely, 2^{118165790400000} is an apocalyptic number.

118165790400000 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 118165790400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226470032490240).

118165790400000 is an abundant number, since it is smaller than the sum of its proper divisors (334774274580480).

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

118165790400000 is an frugal number, since it uses more digits than its factorization.

118165790400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25493 (or 25457 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 118165790400000 in words is "one hundred eighteen trillion, one hundred sixty-five billion, seven hundred ninety million, four hundred thousand".