112511664 has 60 divisors (see below), whose sum is σ = 318450600. Its totient is φ = 37078272.

The previous prime is 112511657. The next prime is 112511683. The reversal of 112511664 is 466115211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8427 + ... + 17205.

It is an arithmetic number, because the mean of its divisors is an integer number (5307510).

Almost surely, 2^112511664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112511664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159225300).

112511664 is an abundant number, since it is smaller than the sum of its proper divisors (205938936).

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

112511664 is a wasteful number, since it uses less digits than its factorization.

112511664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8873 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 112511664 is about 10607.1515497800. The cubic root of 112511664 is about 482.7613753828.

Adding to 112511664 its reverse (466115211), we get a palindrome (578626875).

The spelling of 112511664 in words is "one hundred twelve million, five hundred eleven thousand, six hundred sixty-four".