118166945544000 has 672 divisors, whose sum is σ = 426285015287040. Its totient is φ = 31245129216000.

The previous prime is 118166945543909. The next prime is 118166945544007. The reversal of 118166945544000 is 445549661811.

118166945544000 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 6 + 6 + 94 + 5 + 544 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×118166945544000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118166945544007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4720811485 + ... + 4720836515.

It is an arithmetic number, because the mean of its divisors is an integer number (634352701320).

Almost surely, 2^{118166945544000} is an apocalyptic number.

118166945544000 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 118166945544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213142507643520).

118166945544000 is an abundant number, since it is smaller than the sum of its proper divisors (308118069743040).

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

118166945544000 is a wasteful number, since it uses less digits than its factorization.

118166945544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25616 (or 25593 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 118166945544000 in words is "one hundred eighteen trillion, one hundred sixty-six billion, nine hundred forty-five million, five hundred forty-four thousand".