112971456 has 224 divisors, whose sum is σ = 368686080. Its totient is φ = 33702912.

The previous prime is 112971431. The next prime is 112971457. The reversal of 112971456 is 654179211.

112971456 is a `hidden beast` number, since 112 + 97 + 1 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112971456.

It is not an unprimeable number, because it can be changed into a prime (112971457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055755 + ... + 1055861.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2^112971456 is an apocalyptic number.

112971456 is a gapful number since it is divisible by the number (16) 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 112971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

112971456 is an abundant number, since it is smaller than the sum of its proper divisors (255714624).

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

112971456 is a wasteful number, since it uses less digits than its factorization.

112971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 112971456 is about 10628.8031311150. The cubic root of 112971456 is about 483.4181017658.

The spelling of 112971456 in words is "one hundred twelve million, nine hundred seventy-one thousand, four hundred fifty-six".