113743344960 has 1344 divisors, whose sum is σ = 503636889600. Its totient is φ = 23604203520.

The previous prime is 113743344931. The next prime is 113743344971. The reversal of 113743344960 is 69443347311.

113743344960 is a `hidden beast` number, since 113 + 7 + 4 + 33 + 449 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1104304269 + ... + 1104304371.

Almost surely, 2^113743344960 is an apocalyptic number.

113743344960 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 113743344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251818444800).

113743344960 is an abundant number, since it is smaller than the sum of its proper divisors (389893544640).

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

113743344960 is a wasteful number, since it uses less digits than its factorization.

113743344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 113743344960 in words is "one hundred thirteen billion, seven hundred forty-three million, three hundred forty-four thousand, nine hundred sixty".