18645318260736 has 192 divisors, whose sum is σ = 50214483446400. Its totient is φ = 6151964786688.

The previous prime is 18645318260731. The next prime is 18645318260753. The reversal of 18645318260736 is 63706281354681.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18645318260736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18645318260731) 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 15 ways as a sum of consecutive naturals, for example, 847387911 + ... + 847409913.

It is an arithmetic number, because the mean of its divisors is an integer number (261533767950).

Almost surely, 2^{18645318260736} is an apocalyptic number.

18645318260736 is a gapful number since it is divisible by the number (16) 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 18645318260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25107241723200).

18645318260736 is an abundant number, since it is smaller than the sum of its proper divisors (31569165185664).

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

18645318260736 is a wasteful number, since it uses less digits than its factorization.

18645318260736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23424 (or 23404 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 18645318260736 in words is "eighteen trillion, six hundred forty-five billion, three hundred eighteen million, two hundred sixty thousand, seven hundred thirty-six".