18228111897600 has 1584 divisors, whose sum is σ = 77369698498560. Its totient is φ = 4050984960000.

The previous prime is 18228111897599. The next prime is 18228111897637. The reversal of 18228111897600 is 679811182281.

18228111897600 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 8 + 11 + 18 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1492755495 + ... + 1492767705.

Almost surely, 2^{18228111897600} is an apocalyptic number.

18228111897600 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 18228111897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38684849249280).

18228111897600 is an abundant number, since it is smaller than the sum of its proper divisors (59141586600960).

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

18228111897600 is a wasteful number, since it uses less digits than its factorization.

18228111897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 12282 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 18228111897600 in words is "eighteen trillion, two hundred twenty-eight billion, one hundred eleven million, eight hundred ninety-seven thousand, six hundred".