113843318400 has 768 divisors, whose sum is σ = 501265536000. Its totient is φ = 24649297920.

The previous prime is 113843318363. The next prime is 113843318417. The reversal of 113843318400 is 4813348311.

It is a happy number.

113843318400 is a `hidden beast` number, since 11 + 38 + 433 + 184 + 0 + 0 = 666.

113843318400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113843318400² (a number of 23 digits) contains 22 as substring.

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

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, 11486247 + ... + 11496153.

It is an arithmetic number, because the mean of its divisors is an integer number (652689500).

Almost surely, 2^113843318400 is an apocalyptic number.

113843318400 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 113843318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250632768000).

113843318400 is an abundant number, since it is smaller than the sum of its proper divisors (387422217600).

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

113843318400 is a wasteful number, since it uses less digits than its factorization.

113843318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 113843318400 in words is "one hundred thirteen billion, eight hundred forty-three million, three hundred eighteen thousand, four hundred".