113002009344 has 648 divisors, whose sum is σ = 402884664000. Its totient is φ = 30286835712.

The previous prime is 113002009339. The next prime is 113002009381. The reversal of 113002009344 is 443900200311.

113002009344 is a `hidden beast` number, since 11 + 300 + 2 + 0 + 0 + 9 + 344 = 666.

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 71 ways as a sum of consecutive naturals, for example, 298158147 + ... + 298158525.

Almost surely, 2^113002009344 is an apocalyptic number.

113002009344 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 113002009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201442332000).

113002009344 is an abundant number, since it is smaller than the sum of its proper divisors (289882654656).

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

113002009344 is a wasteful number, since it uses less digits than its factorization.

113002009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113002009344 its reverse (443900200311), we get a palindrome (556902209655).

The spelling of 113002009344 in words is "one hundred thirteen billion, two million, nine thousand, three hundred forty-four".