112314624 has 144 divisors (see below), whose sum is σ = 323769600. Its totient is φ = 34449408.

The previous prime is 112314617. The next prime is 112314649. The reversal of 112314624 is 426413211.

It is a super-2 number, since 2×112314624² = 25229149528522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 112314594 and 112314603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627367 + ... + 627545.

It is an arithmetic number, because the mean of its divisors is an integer number (2248400).

Almost surely, 2^112314624 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 112314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161884800).

112314624 is an abundant number, since it is smaller than the sum of its proper divisors (211454976).

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

112314624 is a wasteful number, since it uses less digits than its factorization.

112314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 112314624 is about 10597.8594065028. The cubic root of 112314624 is about 482.4793931081.

Adding to 112314624 its reverse (426413211), we get a palindrome (538727835).

The spelling of 112314624 in words is "one hundred twelve million, three hundred fourteen thousand, six hundred twenty-four".