18321841324800 has 648 divisors, whose sum is σ = 70572583409328. Its totient is φ = 4508135424000.

The previous prime is 18321841324777. The next prime is 18321841324819. The reversal of 18321841324800 is 842314812381.

18321841324800 is a `hidden beast` number, since 1 + 8 + 32 + 1 + 8 + 4 + 132 + 480 + 0 = 666.

It is a super-2 number, since 2×18321841324800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3063337810 + ... + 3063343790.

Almost surely, 2^{18321841324800} is an apocalyptic number.

18321841324800 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 18321841324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35286291704664).

18321841324800 is an abundant number, since it is smaller than the sum of its proper divisors (52250742084528).

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

18321841324800 is a wasteful number, since it uses less digits than its factorization.

18321841324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 18321841324800 in words is "eighteen trillion, three hundred twenty-one billion, eight hundred forty-one million, three hundred twenty-four thousand, eight hundred".