112653216 has 72 divisors (see below), whose sum is σ = 345011940. Its totient is φ = 34661376.

The previous prime is 112653209. The next prime is 112653217. The reversal of 112653216 is 612356211.

112653216 is a `hidden beast` number, since 1 + 1 + 2 + 653 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108243216 + 4410000 = 10404^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 112653216.

It is not an unprimeable number, because it can be changed into a prime (112653217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11301 + ... + 18788.

Almost surely, 2^112653216 is an apocalyptic number.

112653216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112653216 is an abundant number, since it is smaller than the sum of its proper divisors (232358724).

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

112653216 is a wasteful number, since it uses less digits than its factorization.

112653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30118 (or 30107 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 112653216 is about 10613.8219318019. The cubic root of 112653216 is about 482.9637461054.

The spelling of 112653216 in words is "one hundred twelve million, six hundred fifty-three thousand, two hundred sixteen".