112662144 has 128 divisors (see below), whose sum is σ = 380092800. Its totient is φ = 32182272.

The previous prime is 112662127. The next prime is 112662169. The reversal of 112662144 is 441266211.

112662144 is a `hidden beast` number, since 11 + 26 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21864 + ... + 26520.

It is an arithmetic number, because the mean of its divisors is an integer number (2969475).

Almost surely, 2^112662144 is an apocalyptic number.

112662144 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 112662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190046400).

112662144 is an abundant number, since it is smaller than the sum of its proper divisors (267430656).

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

112662144 is an equidigital number, since it uses as much as digits as its factorization.

112662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4669 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 112662144 is about 10614.2425071222. The cubic root of 112662144 is about 482.9765043931.

The spelling of 112662144 in words is "one hundred twelve million, six hundred sixty-two thousand, one hundred forty-four".