18245858215200 has 576 divisors, whose sum is σ = 74458804331520. Its totient is φ = 3770159616000.

The previous prime is 18245858215153. The next prime is 18245858215201. The reversal of 18245858215200 is 251285854281.

It is a super-2 number, since 2×18245858215200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18245858215201) 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 95 ways as a sum of consecutive naturals, for example, 32803410 + ... + 33354990.

It is an arithmetic number, because the mean of its divisors is an integer number (129268757520).

Almost surely, 2^{18245858215200} is an apocalyptic number.

18245858215200 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 18245858215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37229402165760).

18245858215200 is an abundant number, since it is smaller than the sum of its proper divisors (56212946116320).

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

18245858215200 is a wasteful number, since it uses less digits than its factorization.

18245858215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551801 (or 551788 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 51.

The spelling of 18245858215200 in words is "eighteen trillion, two hundred forty-five billion, eight hundred fifty-eight million, two hundred fifteen thousand, two hundred".