112856300319168 has 336 divisors, whose sum is σ = 391380090796800. Its totient is φ = 31790505438720.

The previous prime is 112856300319167. The next prime is 112856300319197. The reversal of 112856300319168 is 861913003658211.

112856300319168 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 5 + 6 + 300 + 319 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112856300319163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374658 + ... + 15398081.

It is an arithmetic number, because the mean of its divisors is an integer number (1164821698800).

Almost surely, 2^{112856300319168} is an apocalyptic number.

112856300319168 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 112856300319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195690045398400).

112856300319168 is an abundant number, since it is smaller than the sum of its proper divisors (278523790477632).

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

112856300319168 is a wasteful number, since it uses less digits than its factorization.

112856300319168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18772845 (or 18772822 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 112856300319168 in words is "one hundred twelve trillion, eight hundred fifty-six billion, three hundred million, three hundred nineteen thousand, one hundred sixty-eight".