113603465709888 has 1344 divisors, whose sum is σ = 417460888793088. Its totient is φ = 26851676651520.

The previous prime is 113603465709869. The next prime is 113603465709893. The reversal of 113603465709888 is 888907564306311.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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, 6863005420 + ... + 6863021972.

It is an arithmetic number, because the mean of its divisors is an integer number (310610780352).

Almost surely, 2^{113603465709888} 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 113603465709888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208730444396544).

113603465709888 is an abundant number, since it is smaller than the sum of its proper divisors (303857423083200).

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

113603465709888 is a wasteful number, since it uses less digits than its factorization.

113603465709888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 113603465709888 in words is "one hundred thirteen trillion, six hundred three billion, four hundred sixty-five million, seven hundred nine thousand, eight hundred eighty-eight".