112938443856 has 400 divisors, whose sum is σ = 394233100800. Its totient is φ = 30492308736.

The previous prime is 112938443809. The next prime is 112938443857. The reversal of 112938443856 is 658344839211.

It is a happy number.

112938443856 is a `hidden beast` number, since 1 + 129 + 3 + 84 + 438 + 5 + 6 = 666.

It is a super-2 number, since 2×112938443856² (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 (112938443857) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110832115 + ... + 110833133.

It is an arithmetic number, because the mean of its divisors is an integer number (985582752).

Almost surely, 2^112938443856 is an apocalyptic number.

112938443856 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 112938443856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197116550400).

112938443856 is an abundant number, since it is smaller than the sum of its proper divisors (281294656944).

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

112938443856 is a wasteful number, since it uses less digits than its factorization.

112938443856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1693 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 112938443856 in words is "one hundred twelve billion, nine hundred thirty-eight million, four hundred forty-three thousand, eight hundred fifty-six".