112984581024 has 1152 divisors, whose sum is σ = 436849459200. Its totient is φ = 28165294080.

The previous prime is 112984581011. The next prime is 112984581053. The reversal of 112984581024 is 420185489211.

112984581024 is a `hidden beast` number, since 1 + 1 + 2 + 98 + 458 + 102 + 4 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 573525694 + ... + 573525890.

It is an arithmetic number, because the mean of its divisors is an integer number (379209600).

Almost surely, 2^112984581024 is an apocalyptic number.

112984581024 is a gapful number since it is divisible by the number (14) 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 112984581024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218424729600).

112984581024 is an abundant number, since it is smaller than the sum of its proper divisors (323864878176).

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

112984581024 is a wasteful number, since it uses less digits than its factorization.

112984581024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 112984581024 in words is "one hundred twelve billion, nine hundred eighty-four million, five hundred eighty-one thousand, twenty-four".