112291179840 has 336 divisors, whose sum is σ = 467378076672. Its totient is φ = 24156684288.

The previous prime is 112291179817. The next prime is 112291179851. The reversal of 112291179840 is 48971192211.

112291179840 is a `hidden beast` number, since 112 + 291 + 179 + 84 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178897 + ... + 506543.

Almost surely, 2^112291179840 is an apocalyptic number.

112291179840 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 112291179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233689038336).

112291179840 is an abundant number, since it is smaller than the sum of its proper divisors (355086896832).

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

112291179840 is a wasteful number, since it uses less digits than its factorization.

112291179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327694 (or 327681 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 112291179840 in words is "one hundred twelve billion, two hundred ninety-one million, one hundred seventy-nine thousand, eight hundred forty".