112322396736 has 560 divisors, whose sum is σ = 388487594880. Its totient is φ = 31711150080.

The previous prime is 112322396731. The next prime is 112322396779. The reversal of 112322396736 is 637693223211.

112322396736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112322396691 and 112322396700.

It is not an unprimeable number, because it can be changed into a prime (112322396731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105664941 + ... + 105666003.

It is an arithmetic number, because the mean of its divisors is an integer number (693727848).

Almost surely, 2^112322396736 is an apocalyptic number.

112322396736 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 112322396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194243797440).

112322396736 is an abundant number, since it is smaller than the sum of its proper divisors (276165198144).

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

112322396736 is a wasteful number, since it uses less digits than its factorization.

112322396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1205 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 112322396736 in words is "one hundred twelve billion, three hundred twenty-two million, three hundred ninety-six thousand, seven hundred thirty-six".