18322243641600 has 864 divisors, whose sum is σ = 62798610631680. Its totient is φ = 4702064640000.

The previous prime is 18322243641487. The next prime is 18322243641613. The reversal of 18322243641600 is 614634222381.

It is a Cunningham number, because it is equal to 4280449²-1.

It is a super-2 number, since 2×18322243641600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12627320875 + ... + 12627322325.

It is an arithmetic number, because the mean of its divisors is an integer number (72683577120).

Almost surely, 2^{18322243641600} is an apocalyptic number.

18322243641600 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 18322243641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31399305315840).

18322243641600 is an abundant number, since it is smaller than the sum of its proper divisors (44476366990080).

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

18322243641600 is a wasteful number, since it uses less digits than its factorization.

18322243641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

Adding to 18322243641600 its reverse (614634222381), we get a palindrome (18936877863981).

The spelling of 18322243641600 in words is "eighteen trillion, three hundred twenty-two billion, two hundred forty-three million, six hundred forty-one thousand, six hundred".