112314888 has 96 divisors (see below), whose sum is σ = 362793600. Its totient is φ = 30691584.

The previous prime is 112314877. The next prime is 112314893. The reversal of 112314888 is 888413211.

It is a super-2 number, since 2×112314888² = 25229268132905088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 6748 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2^112314888 is an apocalyptic number.

112314888 is a gapful number since it is divisible by the number (18) 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 112314888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

112314888 is an abundant number, since it is smaller than the sum of its proper divisors (250478712).

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

112314888 is a wasteful number, since it uses less digits than its factorization.

112314888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9724 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 112314888 is about 10597.8718618409. The cubic root of 112314888 is about 482.4797711368.

The spelling of 112314888 in words is "one hundred twelve million, three hundred fourteen thousand, eight hundred eighty-eight".