112377831168 has 288 divisors, whose sum is σ = 315528192000. Its totient is φ = 35463168000.

The previous prime is 112377831131. The next prime is 112377831211. The reversal of 112377831168 is 861138773211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280243768 + ... + 280244168.

It is an arithmetic number, because the mean of its divisors is an integer number (1095584000).

Almost surely, 2^112377831168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112377831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157764096000).

112377831168 is an abundant number, since it is smaller than the sum of its proper divisors (203150360832).

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

112377831168 is a wasteful number, since it uses less digits than its factorization.

112377831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The spelling of 112377831168 in words is "one hundred twelve billion, three hundred seventy-seven million, eight hundred thirty-one thousand, one hundred sixty-eight".