112853664 has 216 divisors, whose sum is σ = 407822688. Its totient is φ = 29272320.

The previous prime is 112853659. The next prime is 112853677. The reversal of 112853664 is 466358211.

It is a happy number.

112853664 is a `hidden beast` number, since 11 + 285 + 366 + 4 = 666.

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

Its product of digits (34560) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154869 + ... + 155595.

It is an arithmetic number, because the mean of its divisors is an integer number (1888068).

Almost surely, 2^112853664 is an apocalyptic number.

112853664 is a gapful number since it is divisible by the number (14) 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 112853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344).

112853664 is an abundant number, since it is smaller than the sum of its proper divisors (294969024).

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

112853664 is a wasteful number, since it uses less digits than its factorization.

112853664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 112853664 is about 10623.2605164328. The cubic root of 112853664 is about 483.2500280789.

It can be divided in two parts, 112 and 853664, that added together give a square (853776 = 924²).

The spelling of 112853664 in words is "one hundred twelve million, eight hundred fifty-three thousand, six hundred sixty-four".