112826073348816 has 320 divisors, whose sum is σ = 312412754304000. Its totient is φ = 34963751116800.

The previous prime is 112826073348811. The next prime is 112826073348847. The reversal of 112826073348816 is 618843370628211.

It is a self number, because there is not a number n which added to its sum of digits gives 112826073348816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112826073348811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16862360031 + ... + 16862366721.

It is an arithmetic number, because the mean of its divisors is an integer number (976289857200).

Almost surely, 2^{112826073348816} is an apocalyptic number.

112826073348816 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 112826073348816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156206377152000).

112826073348816 is an abundant number, since it is smaller than the sum of its proper divisors (199586680955184).

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

112826073348816 is a wasteful number, since it uses less digits than its factorization.

112826073348816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 112826073348816 in words is "one hundred twelve trillion, eight hundred twenty-six billion, seventy-three million, three hundred forty-eight thousand, eight hundred sixteen".