112168354141008 has 600 divisors, whose sum is σ = 359480642148320. Its totient is φ = 33740154201600.

The previous prime is 112168354140989. The next prime is 112168354141009. The reversal of 112168354141008 is 800141453861211.

It is a happy number.

112168354141008 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 68 + 3 + 541 + 41 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112168354141009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13136001603 + ... + 13136010141.

Almost surely, 2^{112168354141008} is an apocalyptic number.

112168354141008 is a gapful number since it is divisible by the number (18) 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 112168354141008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179740321074160).

112168354141008 is an abundant number, since it is smaller than the sum of its proper divisors (247312288007312).

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

112168354141008 is a wasteful number, since it uses less digits than its factorization.

112168354141008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 112168354141008 in words is "one hundred twelve trillion, one hundred sixty-eight billion, three hundred fifty-four million, one hundred forty-one thousand, eight".