112641392080 has 640 divisors, whose sum is σ = 347120640000. Its totient is φ = 33760419840.

The previous prime is 112641392077. The next prime is 112641392089. The reversal of 112641392080 is 80293146211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112641392089) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 629281431 + ... + 629281609.

It is an arithmetic number, because the mean of its divisors is an integer number (542376000).

Almost surely, 2^112641392080 is an apocalyptic number.

112641392080 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 112641392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320000).

112641392080 is an abundant number, since it is smaller than the sum of its proper divisors (234479247920).

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

112641392080 is a wasteful number, since it uses less digits than its factorization.

112641392080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 112641392080 in words is "one hundred twelve billion, six hundred forty-one million, three hundred ninety-two thousand, eighty".