112008456 has 192 divisors, whose sum is σ = 366612480. Its totient is φ = 30222720.

The previous prime is 112008431. The next prime is 112008467. The reversal of 112008456 is 654800211.

112008456 is a `hidden beast` number, since 1 + 1 + 200 + 8 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046755 + ... + 1046861.

It is an arithmetic number, because the mean of its divisors is an integer number (1909440).

Almost surely, 2^112008456 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 112008456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

112008456 is an abundant number, since it is smaller than the sum of its proper divisors (254604024).

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

112008456 is a wasteful number, since it uses less digits than its factorization.

112008456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112008456 is about 10583.4047451659. The cubic root of 112008456 is about 482.0405835792.

Adding to 112008456 its reverse (654800211), we get a palindrome (766808667).

The spelling of 112008456 in words is "one hundred twelve million, eight thousand, four hundred fifty-six".