18363769648000 has 768 divisors, whose sum is σ = 58311765682560. Its totient is φ = 5613694156800.

The previous prime is 18363769647919. The next prime is 18363769648039. The reversal of 18363769648000 is 84696736381.

It is a super-3 number, since 3×18363769648000³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18363769648000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687330642 + ... + 687357358.

Almost surely, 2^{18363769648000} is an apocalyptic number.

18363769648000 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 18363769648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29155882841280).

18363769648000 is an abundant number, since it is smaller than the sum of its proper divisors (39947996034560).

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

18363769648000 is a wasteful number, since it uses less digits than its factorization.

18363769648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26808 (or 26767 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 18363769648000 in words is "eighteen trillion, three hundred sixty-three billion, seven hundred sixty-nine million, six hundred forty-eight thousand".