113361509065728 has 704 divisors, whose sum is σ = 399368627306496. Its totient is φ = 27724529664000.

The previous prime is 113361509065711. The next prime is 113361509065789. The reversal of 113361509065728 is 827560905163311.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 271107058 + ... + 271524878.

Almost surely, 2^{113361509065728} 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 113361509065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199684313653248).

113361509065728 is an abundant number, since it is smaller than the sum of its proper divisors (286007118240768).

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

113361509065728 is a wasteful number, since it uses less digits than its factorization.

113361509065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417930 (or 417912 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 113361509065728 in words is "one hundred thirteen trillion, three hundred sixty-one billion, five hundred nine million, sixty-five thousand, seven hundred twenty-eight".