112964544 has 280 divisors, whose sum is σ = 418965888. Its totient is φ = 29237760.

The previous prime is 112964543. The next prime is 112964567. The reversal of 112964544 is 445469211.

112964544 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 645 + 4 + 4 = 666.

It is a super-2 number, since 2×112964544² = 25521976402255872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112964499 and 112964508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112964543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399027 + ... + 399309.

Almost surely, 2^112964544 is an apocalyptic number.

112964544 is a gapful number since it is divisible by the number (14) 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 112964544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209482944).

112964544 is an abundant number, since it is smaller than the sum of its proper divisors (306001344).

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

112964544 is a wasteful number, since it uses less digits than its factorization.

112964544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 112964544 is about 10628.4779719394. The cubic root of 112964544 is about 483.4082424787.

The spelling of 112964544 in words is "one hundred twelve million, nine hundred sixty-four thousand, five hundred forty-four".