11214866917800 has 1536 divisors, whose sum is σ = 49171052851200. Its totient is φ = 2286562037760.

The previous prime is 11214866917783. The next prime is 11214866917829. The reversal of 11214866917800 is 871966841211.

11214866917800 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 486 + 6 + 91 + 78 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1744958187 + ... + 1744964613.

It is an arithmetic number, because the mean of its divisors is an integer number (32012404200).

Almost surely, 2^{11214866917800} is an apocalyptic number.

11214866917800 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 11214866917800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24585526425600).

11214866917800 is an abundant number, since it is smaller than the sum of its proper divisors (37956185933400).

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

11214866917800 is a wasteful number, since it uses less digits than its factorization.

11214866917800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 11214866917800 in words is "eleven trillion, two hundred fourteen billion, eight hundred sixty-six million, nine hundred seventeen thousand, eight hundred".