113366206800 has 1800 divisors, whose sum is σ = 543391345728. Its totient is φ = 22170931200.

The previous prime is 113366206771. The next prime is 113366206823. The reversal of 113366206800 is 8602663311.

113366206800 is a `hidden beast` number, since 1 + 13 + 366 + 206 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 359 ways as a sum of consecutive naturals, for example, 6668600392 + ... + 6668600408.

Almost surely, 2^113366206800 is an apocalyptic number.

113366206800 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 113366206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271695672864).

113366206800 is an abundant number, since it is smaller than the sum of its proper divisors (430025138928).

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

113366206800 is an equidigital number, since it uses as much as digits as its factorization.

113366206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 113366206800 in words is "one hundred thirteen billion, three hundred sixty-six million, two hundred six thousand, eight hundred".