112446144 has 140 divisors (see below), whose sum is σ = 338074000. Its totient is φ = 36951552.

The previous prime is 112446133. The next prime is 112446163. The reversal of 112446144 is 441644211.

112446144 is a `hidden beast` number, since 1 + 1 + 2 + 44 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 564957 + ... + 565155.

Almost surely, 2^112446144 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 112446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169037000).

112446144 is an abundant number, since it is smaller than the sum of its proper divisors (225627856).

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

112446144 is a wasteful number, since it uses less digits than its factorization.

112446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 112446144 is about 10604.0626176952. The cubic root of 112446144 is about 482.6676468274.

The spelling of 112446144 in words is "one hundred twelve million, four hundred forty-six thousand, one hundred forty-four".