112193788176 has 140 divisors (see below), whose sum is σ = 326226201660. Its totient is φ = 37362124800.

The previous prime is 112193788171. The next prime is 112193788241. The reversal of 112193788176 is 671887391211.

112193788176 is a `hidden beast` number, since 1 + 121 + 9 + 378 + 81 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24625141776 + 87568646400 = 156924^2 + 295920^2 .

It is a super-2 number, since 2×112193788176² (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 not an unprimeable number, because it can be changed into a prime (112193788171) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14004460 + ... + 14012468.

Almost surely, 2^112193788176 is an apocalyptic number.

112193788176 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 112193788176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163113100830).

112193788176 is an abundant number, since it is smaller than the sum of its proper divisors (214032413484).

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

112193788176 is an equidigital number, since it uses as much as digits as its factorization.

112193788176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9215 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The spelling of 112193788176 in words is "one hundred twelve billion, one hundred ninety-three million, seven hundred eighty-eight thousand, one hundred seventy-six".