112341824 has 56 divisors (see below), whose sum is σ = 263591040. Its totient is φ = 46480896.

The previous prime is 112341793. The next prime is 112341847. The reversal of 112341824 is 428143211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 112341793 and 112341802.

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 7 ways as a sum of consecutive naturals, for example, 8669 + ... + 17315.

Almost surely, 2^112341824 is an apocalyptic number.

112341824 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 112341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131795520).

112341824 is an abundant number, since it is smaller than the sum of its proper divisors (151249216).

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

112341824 is an equidigital number, since it uses as much as digits as its factorization.

112341824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8685 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 112341824 is about 10599.1426068338. The cubic root of 112341824 is about 482.5183384083.

The spelling of 112341824 in words is "one hundred twelve million, three hundred forty-one thousand, eight hundred twenty-four".