113743944000 has 336 divisors, whose sum is σ = 416354727360. Its totient is φ = 29625523200.

The previous prime is 113743943981. The next prime is 113743944001. The reversal of 113743944000 is 449347311.

113743944000 is a `hidden beast` number, since 113 + 74 + 39 + 440 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113743944001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3077631 + ... + 3114369.

Almost surely, 2^113743944000 is an apocalyptic number.

113743944000 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 113743944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208177363680).

113743944000 is an abundant number, since it is smaller than the sum of its proper divisors (302610783360).

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

113743944000 is a wasteful number, since it uses less digits than its factorization.

113743944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36815 (or 36792 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 113743944000 in words is "one hundred thirteen billion, seven hundred forty-three million, nine hundred forty-four thousand".