112794804928000 has 640 divisors, whose sum is σ = 315637461659520. Its totient is φ = 39916516147200.

The previous prime is 112794804927997. The next prime is 112794804928031. The reversal of 112794804928000 is 829408497211.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×112794804928000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 3305518939 + ... + 3305553061.

It is an arithmetic number, because the mean of its divisors is an integer number (493183533843).

Almost surely, 2^{112794804928000} is an apocalyptic number.

112794804928000 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 112794804928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157818730829760).

112794804928000 is an abundant number, since it is smaller than the sum of its proper divisors (202842656731520).

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

112794804928000 is a wasteful number, since it uses less digits than its factorization.

112794804928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34335 (or 34309 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 112794804928000 in words is "one hundred twelve trillion, seven hundred ninety-four billion, eight hundred four million, nine hundred twenty-eight thousand".