112581923328 has 720 divisors, whose sum is σ = 399882843360. Its totient is φ = 31520047104.

The previous prime is 112581923327. The next prime is 112581923339. The reversal of 112581923328 is 823329185211.

112581923328 is a `hidden beast` number, since 1 + 12 + 581 + 9 + 2 + 33 + 28 = 666.

Its product of digits (207360) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (112581923327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359686500 + ... + 359686812.

It is an arithmetic number, because the mean of its divisors is an integer number (555392838).

Almost surely, 2^112581923328 is an apocalyptic number.

112581923328 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 112581923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199941421680).

112581923328 is an abundant number, since it is smaller than the sum of its proper divisors (287300920032).

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

112581923328 is an frugal number, since it uses more digits than its factorization.

112581923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 384 counting only the distinct ones).

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

The spelling of 112581923328 in words is "one hundred twelve billion, five hundred eighty-one million, nine hundred twenty-three thousand, three hundred twenty-eight".