113743872000 has 1440 divisors, whose sum is σ = 489491795520. Its totient is φ = 25952256000.

The previous prime is 113743871993. The next prime is 113743872019. The reversal of 113743872000 is 278347311.

113743872000 is a `hidden beast` number, since 1 + 1 + 3 + 74 + 387 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6690815992 + ... + 6690816008.

It is an arithmetic number, because the mean of its divisors is an integer number (339924858).

Almost surely, 2^113743872000 is an apocalyptic number.

113743872000 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 113743872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244745897760).

113743872000 is an abundant number, since it is smaller than the sum of its proper divisors (375747923520).

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

113743872000 is an equidigital number, since it uses as much as digits as its factorization.

113743872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 113743872000 in words is "one hundred thirteen billion, seven hundred forty-three million, eight hundred seventy-two thousand".