112641852960 has 1728 divisors, whose sum is σ = 515672801280. Its totient is φ = 22708408320.

The previous prime is 112641852959. The next prime is 112641852989. The reversal of 112641852960 is 69258146211.

112641852960 is a `hidden beast` number, since 1 + 1 + 2 + 64 + 1 + 8 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1425846201 + ... + 1425846279.

It is an arithmetic number, because the mean of its divisors is an integer number (298421760).

Almost surely, 2^112641852960 is an apocalyptic number.

112641852960 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 112641852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257836400640).

112641852960 is an abundant number, since it is smaller than the sum of its proper divisors (403030948320).

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

112641852960 is a wasteful number, since it uses less digits than its factorization.

112641852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 112641852960 in words is "one hundred twelve billion, six hundred forty-one million, eight hundred fifty-two thousand, nine hundred sixty".