112191879168 has 576 divisors, whose sum is σ = 362210940000. Its totient is φ = 34568404992.

The previous prime is 112191879143. The next prime is 112191879197. The reversal of 112191879168 is 861978191211.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×112191879168² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752965558 + ... + 752965706.

Almost surely, 2^112191879168 is an apocalyptic number.

112191879168 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 112191879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181105470000).

112191879168 is an abundant number, since it is smaller than the sum of its proper divisors (250019060832).

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

112191879168 is an equidigital number, since it uses as much as digits as its factorization.

112191879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its digits is 435456, while the sum is 54.

The spelling of 112191879168 in words is "one hundred twelve billion, one hundred ninety-one million, eight hundred seventy-nine thousand, one hundred sixty-eight".