113903647200 has 1152 divisors, whose sum is σ = 511967232000. Its totient is φ = 23850547200.

The previous prime is 113903647189. The next prime is 113903647223. The reversal of 113903647200 is 2746309311.

113903647200 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 3 + 647 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×113903647200³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89056161 + ... + 89057439.

It is an arithmetic number, because the mean of its divisors is an integer number (444416000).

Almost surely, 2^113903647200 is an apocalyptic number.

113903647200 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 113903647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255983616000).

113903647200 is an abundant number, since it is smaller than the sum of its proper divisors (398063584800).

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

113903647200 is a wasteful number, since it uses less digits than its factorization.

113903647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 113903647200 in words is "one hundred thirteen billion, nine hundred three million, six hundred forty-seven thousand, two hundred".