113002981344 has 288 divisors, whose sum is σ = 359129272320. Its totient is φ = 33411456000.

The previous prime is 113002981339. The next prime is 113002981361. The reversal of 113002981344 is 443189200311.

113002981344 is a `hidden beast` number, since 1 + 1 + 300 + 2 + 9 + 8 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113002981299 and 113002981308.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 57919569 + ... + 57921519.

It is an arithmetic number, because the mean of its divisors is an integer number (1246976640).

Almost surely, 2^113002981344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113002981344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179564636160).

113002981344 is an abundant number, since it is smaller than the sum of its proper divisors (246126290976).

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

113002981344 is a wasteful number, since it uses less digits than its factorization.

113002981344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 113002981344 in words is "one hundred thirteen billion, two million, nine hundred eighty-one thousand, three hundred forty-four".