18248394866688 has 640 divisors, whose sum is σ = 62827258560000. Its totient is φ = 5126655836160.

The previous prime is 18248394866659. The next prime is 18248394866717. The reversal of 18248394866688 is 88666849384281.

It is an interprime number because it is at equal distance from previous prime (18248394866659) and next prime (18248394866717).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6044514843 + ... + 6044517861.

It is an arithmetic number, because the mean of its divisors is an integer number (98167591500).

Almost surely, 2^{18248394866688} is an apocalyptic number.

18248394866688 is a gapful number since it is divisible by the number (18) 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 18248394866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31413629280000).

18248394866688 is an abundant number, since it is smaller than the sum of its proper divisors (44578863693312).

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

18248394866688 is an frugal number, since it uses more digits than its factorization.

18248394866688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3092 counting only the distinct ones).

The product of its digits is 6115295232, while the sum is 81.

The spelling of 18248394866688 in words is "eighteen trillion, two hundred forty-eight billion, three hundred ninety-four million, eight hundred sixty-six thousand, six hundred eighty-eight".