112338220176 has 240 divisors, whose sum is σ = 407309069440. Its totient is φ = 28068249600.

The previous prime is 112338220147. The next prime is 112338220237. The reversal of 112338220176 is 671022833211.

112338220176 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 382 + 201 + 76 = 666.

It is a super-2 number, since 2×112338220176² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112338220176.

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, 23376 + ... + 474576.

Almost surely, 2^112338220176 is an apocalyptic number.

112338220176 is a gapful number since it is divisible by the number (16) 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 112338220176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203654534720).

112338220176 is an abundant number, since it is smaller than the sum of its proper divisors (294970849264).

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

112338220176 is a wasteful number, since it uses less digits than its factorization.

112338220176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451254 (or 451245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 112338220176 in words is "one hundred twelve billion, three hundred thirty-eight million, two hundred twenty thousand, one hundred seventy-six".