112376029728 has 192 divisors, whose sum is σ = 311216919552. Its totient is φ = 35435811840.

The previous prime is 112376029723. The next prime is 112376029811. The reversal of 112376029728 is 827920673211.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (112376029723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128136426 + ... + 128137302.

It is an arithmetic number, because the mean of its divisors is an integer number (1620921456).

Almost surely, 2^112376029728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112376029728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155608459776).

112376029728 is an abundant number, since it is smaller than the sum of its proper divisors (198840889824).

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

112376029728 is a wasteful number, since it uses less digits than its factorization.

112376029728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 112376029728 in words is "one hundred twelve billion, three hundred seventy-six million, twenty-nine thousand, seven hundred twenty-eight".