112625331840 has 576 divisors, whose sum is σ = 479037204360. Its totient is φ = 24227610624.

The previous prime is 112625331821. The next prime is 112625331877. The reversal of 112625331840 is 48133526211.

112625331840 is a `hidden beast` number, since 1 + 12 + 62 + 533 + 18 + 40 = 666.

112625331840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112557566016 + 67765824 = 335496^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 112625331795 and 112625331804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4786344 + ... + 4809816.

Almost surely, 2^112625331840 is an apocalyptic number.

112625331840 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 112625331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239518602180).

112625331840 is an abundant number, since it is smaller than the sum of its proper divisors (366411872520).

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

112625331840 is a wasteful number, since it uses less digits than its factorization.

112625331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23529 (or 23507 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112625331840 in words is "one hundred twelve billion, six hundred twenty-five million, three hundred thirty-one thousand, eight hundred forty".