112014624 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 35993600.

The previous prime is 112014619. The next prime is 112014647. The reversal of 112014624 is 426410211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112014624² = 25094551979722752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112014624.

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, 586369 + ... + 586559.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^112014624 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 112014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

112014624 is an abundant number, since it is smaller than the sum of its proper divisors (192804576).

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

112014624 is a wasteful number, since it uses less digits than its factorization.

With its successor (112014625) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (394).

112014624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112014624 is about 10583.6961407629. The cubic root of 112014624 is about 482.0494316366.

Adding to 112014624 its reverse (426410211), we get a palindrome (538424835).

The spelling of 112014624 in words is "one hundred twelve million, fourteen thousand, six hundred twenty-four".