112988073744 has 960 divisors, whose sum is σ = 424052858880. Its totient is φ = 28531077120.

The previous prime is 112988073673. The next prime is 112988073749. The reversal of 112988073744 is 447370889211.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112988073749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 889669809 + ... + 889669935.

It is an arithmetic number, because the mean of its divisors is an integer number (441721728).

Almost surely, 2^112988073744 is an apocalyptic number.

112988073744 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 112988073744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212026429440).

112988073744 is an abundant number, since it is smaller than the sum of its proper divisors (311064785136).

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

112988073744 is a wasteful number, since it uses less digits than its factorization.

112988073744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 112988073744 in words is "one hundred twelve billion, nine hundred eighty-eight million, seventy-three thousand, seven hundred forty-four".