11314055230200 has 240 divisors, whose sum is σ = 41606884511280. Its totient is φ = 2839605949440.

The previous prime is 11314055230187. The next prime is 11314055230207. The reversal of 11314055230200 is 203255041311.

11314055230200 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 405 + 5 + 230 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314055230207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20265732 + ... + 20816531.

It is an arithmetic number, because the mean of its divisors is an integer number (173362018797).

Almost surely, 2^{11314055230200} is an apocalyptic number.

11314055230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314055230200 is an abundant number, since it is smaller than the sum of its proper divisors (30292829281080).

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

11314055230200 is a wasteful number, since it uses less digits than its factorization.

11314055230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41082308 (or 41082290 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11314055230200 in words is "eleven trillion, three hundred fourteen billion, fifty-five million, two hundred thirty thousand, two hundred".