18218138265600 has 2304 divisors, whose sum is σ = 78664465152000. Its totient is φ = 3611846246400.

The previous prime is 18218138265583. The next prime is 18218138265611. The reversal of 18218138265600 is 656283181281.

It is a super-2 number, since 2×18218138265600² (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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48068966211 + ... + 48068966589.

It is an arithmetic number, because the mean of its divisors is an integer number (34142563000).

Almost surely, 2^{18218138265600} is an apocalyptic number.

18218138265600 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 18218138265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39332232576000).

18218138265600 is an abundant number, since it is smaller than the sum of its proper divisors (60446326886400).

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

18218138265600 is a wasteful number, since it uses less digits than its factorization.

18218138265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 18218138265600 in words is "eighteen trillion, two hundred eighteen billion, one hundred thirty-eight million, two hundred sixty-five thousand, six hundred".