112624923840 has 448 divisors, whose sum is σ = 444819755520. Its totient is φ = 23719772160.

The previous prime is 112624923751. The next prime is 112624923877. The reversal of 112624923840 is 48329426211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112624923792 and 112624923801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2309631 + ... + 2357889.

It is an arithmetic number, because the mean of its divisors is an integer number (992901240).

Almost surely, 2^112624923840 is an apocalyptic number.

112624923840 is a gapful number since it is divisible by the number (10) 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 112624923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222409877760).

112624923840 is an abundant number, since it is smaller than the sum of its proper divisors (332194831680).

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

112624923840 is a wasteful number, since it uses less digits than its factorization.

112624923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48320 (or 48310 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 112624923840 in words is "one hundred twelve billion, six hundred twenty-four million, nine hundred twenty-three thousand, eight hundred forty".