112862016 has 84 divisors (see below), whose sum is σ = 329691492. Its totient is φ = 36900864.

The previous prime is 112862003. The next prime is 112862039. The reversal of 112862016 is 610268211.

112862016 is a `hidden beast` number, since 1 + 1 + 28 + 620 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 70560000 = 6504^2 + 8400^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28680 + ... + 32376.

Almost surely, 2^112862016 is an apocalyptic number.

112862016 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 112862016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164845746).

112862016 is an abundant number, since it is smaller than the sum of its proper divisors (216829476).

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

112862016 is a wasteful number, since it uses less digits than its factorization.

112862016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112862016 is about 10623.6536088109. The cubic root of 112862016 is about 483.2619491353.

The spelling of 112862016 in words is "one hundred twelve million, eight hundred sixty-two thousand, sixteen".