113284459008 has 400 divisors, whose sum is σ = 387961668864. Its totient is φ = 32238673920.

The previous prime is 113284458983. The next prime is 113284459061. The reversal of 113284459008 is 800954482311.

113284459008 is a `hidden beast` number, since 1 + 13 + 2 + 8 + 44 + 590 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92025753 + ... + 92026983.

Almost surely, 2^113284459008 is an apocalyptic number.

113284459008 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 113284459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193980834432).

113284459008 is an abundant number, since it is smaller than the sum of its proper divisors (274677209856).

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

113284459008 is an equidigital number, since it uses as much as digits as its factorization.

113284459008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 113284459008 in words is "one hundred thirteen billion, two hundred eighty-four million, four hundred fifty-nine thousand, eight".