112991029944576 has 864 divisors, whose sum is σ = 370391555874816. Its totient is φ = 30440116224000.

The previous prime is 112991029944517. The next prime is 112991029944593. The reversal of 112991029944576 is 675449920199211.

It is a self number, because there is not a number n which added to its sum of digits gives 112991029944576.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73228145661 + ... + 73228147203.

Almost surely, 2^{112991029944576} is an apocalyptic number.

112991029944576 is a gapful number since it is divisible by the number (16) 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 112991029944576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185195777937408).

112991029944576 is an abundant number, since it is smaller than the sum of its proper divisors (257400525930240).

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

112991029944576 is a wasteful number, since it uses less digits than its factorization.

112991029944576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 69.

The spelling of 112991029944576 in words is "one hundred twelve trillion, nine hundred ninety-one billion, twenty-nine million, nine hundred forty-four thousand, five hundred seventy-six".