112567442328 has 192 divisors, whose sum is σ = 343343594880. Its totient is φ = 33022080000.

The previous prime is 112567442321. The next prime is 112567442357. The reversal of 112567442328 is 823244765211.

112567442328 is a `hidden beast` number, since 1 + 1 + 2 + 567 + 44 + 23 + 28 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112567442321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833703 + ... + 3862953.

It is an arithmetic number, because the mean of its divisors is an integer number (1788247890).

Almost surely, 2^112567442328 is an apocalyptic number.

112567442328 is a gapful number since it is divisible by the number (18) 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 112567442328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171671797440).

112567442328 is an abundant number, since it is smaller than the sum of its proper divisors (230776152552).

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

112567442328 is a wasteful number, since it uses less digits than its factorization.

112567442328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29430 (or 29423 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 112567442328 in words is "one hundred twelve billion, five hundred sixty-seven million, four hundred forty-two thousand, three hundred twenty-eight".