11314014023200 has 144 divisors (see below), whose sum is σ = 31579327543680. Its totient is φ = 3877464913920.

The previous prime is 11314014023173. The next prime is 11314014023243. The reversal of 11314014023200 is 232041041311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12978661 + ... + 13822939.

It is an arithmetic number, because the mean of its divisors is an integer number (219300885720).

Almost surely, 2^{11314014023200} is an apocalyptic number.

11314014023200 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 11314014023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789663771840).

11314014023200 is an abundant number, since it is smaller than the sum of its proper divisors (20265313520480).

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

11314014023200 is a wasteful number, since it uses less digits than its factorization.

11314014023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846699 (or 846686 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11314014023200 its reverse (232041041311), we get a palindrome (11546055064511).

The spelling of 11314014023200 in words is "eleven trillion, three hundred fourteen billion, fourteen million, twenty-three thousand, two hundred".