18223848115200 has 7920 divisors, whose sum is σ = 97122471621120. Its totient is φ = 3279327068160.

The previous prime is 18223848115163. The next prime is 18223848115201. The reversal of 18223848115200 is 251184832281.

18223848115200 is a `hidden beast` number, since 1 + 82 + 2 + 3 + 8 + 48 + 1 + 1 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18223848115201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 792341222389 + ... + 792341222411.

It is an arithmetic number, because the mean of its divisors is an integer number (12262938336).

Almost surely, 2^{18223848115200} is an apocalyptic number.

18223848115200 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 18223848115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48561235810560).

18223848115200 is an abundant number, since it is smaller than the sum of its proper divisors (78898623505920).

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

18223848115200 is a wasteful number, since it uses less digits than its factorization.

18223848115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 18223848115200 in words is "eighteen trillion, two hundred twenty-three billion, eight hundred forty-eight million, one hundred fifteen thousand, two hundred".