112868173440 has 768 divisors, whose sum is σ = 466984103040. Its totient is φ = 25745817600.

The previous prime is 112868173433. The next prime is 112868173441. The reversal of 112868173440 is 44371868211.

112868173440 is a `hidden beast` number, since 1 + 128 + 6 + 81 + 7 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (112868173441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29080300 + ... + 29084180.

Almost surely, 2^112868173440 is an apocalyptic number.

112868173440 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 112868173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233492051520).

112868173440 is an abundant number, since it is smaller than the sum of its proper divisors (354115929600).

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

112868173440 is a wasteful number, since it uses less digits than its factorization.

112868173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 112868173440 in words is "one hundred twelve billion, eight hundred sixty-eight million, one hundred seventy-three thousand, four hundred forty".