112978944 has 264 divisors, whose sum is σ = 375534432. Its totient is φ = 32440320.

The previous prime is 112978939. The next prime is 112978993. The reversal of 112978944 is 449879211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112978944.

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 23 ways as a sum of consecutive naturals, for example, 2755564 + ... + 2755604.

Almost surely, 2^112978944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187767216).

112978944 is an abundant number, since it is smaller than the sum of its proper divisors (262555488).

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

112978944 is a wasteful number, since it uses less digits than its factorization.

112978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 112978944 is about 10629.1553756637. The cubic root of 112978944 is about 483.4287822064.

The spelling of 112978944 in words is "one hundred twelve million, nine hundred seventy-eight thousand, nine hundred forty-four".