113581066636800 has 720 divisors, whose sum is σ = 464636331862560. Its totient is φ = 25956181278720.

The previous prime is 113581066636769. The next prime is 113581066636867. The reversal of 113581066636800 is 8636660185311.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×113581066636800² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 5216590714 + ... + 5216612486.

It is an arithmetic number, because the mean of its divisors is an integer number (645328238698).

Almost surely, 2^{113581066636800} is an apocalyptic number.

113581066636800 is a gapful number since it is divisible by the number (10) 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 113581066636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232318165931280).

113581066636800 is an abundant number, since it is smaller than the sum of its proper divisors (351055265225760).

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

113581066636800 is a wasteful number, since it uses less digits than its factorization.

113581066636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28283 (or 28259 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 113581066636800 in words is "one hundred thirteen trillion, five hundred eighty-one billion, sixty-six million, six hundred thirty-six thousand, eight hundred".