112409856 has 216 divisors, whose sum is σ = 364567840. Its totient is φ = 34338816.

The previous prime is 112409851. The next prime is 112409861. The reversal of 112409856 is 658904211.

It is an interprime number because it is at equal distance from previous prime (112409851) and next prime (112409861).

It is a tau number, because it is divible by the number of its divisors (216).

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 112409856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112409851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808635 + ... + 808773.

Almost surely, 2^112409856 is an apocalyptic number.

112409856 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 112409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182283920).

112409856 is an abundant number, since it is smaller than the sum of its proper divisors (252157984).

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

112409856 is an equidigital number, since it uses as much as digits as its factorization.

112409856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 112409856 is about 10602.3514372992. The cubic root of 112409856 is about 482.6157199600.

The spelling of 112409856 in words is "one hundred twelve million, four hundred nine thousand, eight hundred fifty-six".