113584784768 has 256 divisors, whose sum is σ = 286605312000. Its totient is φ = 44552374272.

The previous prime is 113584784749. The next prime is 113584784777. The reversal of 113584784768 is 867487485311.

It is a self number, because there is not a number n which added to its sum of digits gives 113584784768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72484721 + ... + 72486287.

It is an arithmetic number, because the mean of its divisors is an integer number (1119552000).

Almost surely, 2^113584784768 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 113584784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143302656000).

113584784768 is an abundant number, since it is smaller than the sum of its proper divisors (173020527232).

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

113584784768 is a wasteful number, since it uses less digits than its factorization.

113584784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1716 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 62.

The spelling of 113584784768 in words is "one hundred thirteen billion, five hundred eighty-four million, seven hundred eighty-four thousand, seven hundred sixty-eight".