11314989316800 has 672 divisors, whose sum is σ = 44878354337600. Its totient is φ = 2756501176320.

The previous prime is 11314989316793. The next prime is 11314989316801. The reversal of 11314989316800 is 861398941311.

11314989316800 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 498 + 93 + 1 + 68 + 0 + 0 = 666.

11314989316800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11314989316801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54371346 + ... + 54579054.

Almost surely, 2^{11314989316800} is an apocalyptic number.

11314989316800 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 11314989316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439177168800).

11314989316800 is an abundant number, since it is smaller than the sum of its proper divisors (33563365020800).

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

11314989316800 is a wasteful number, since it uses less digits than its factorization.

11314989316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207850 (or 207829 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 11314989316800 in words is "eleven trillion, three hundred fourteen billion, nine hundred eighty-nine million, three hundred sixteen thousand, eight hundred".