18728275889664 has 1440 divisors, whose sum is σ = 63955784692800. Its totient is φ = 5259873484800.

The previous prime is 18728275889593. The next prime is 18728275889669. The reversal of 18728275889664 is 46698857282781.

18728275889664 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 8 + 27 + 588 + 9 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18728275889669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69621843322 + ... + 69621843590.

It is an arithmetic number, because the mean of its divisors is an integer number (44413739370).

Almost surely, 2^{18728275889664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18728275889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31977892346400).

18728275889664 is an abundant number, since it is smaller than the sum of its proper divisors (45227508803136).

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

18728275889664 is a wasteful number, since it uses less digits than its factorization.

18728275889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 458 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 81.

The spelling of 18728275889664 in words is "eighteen trillion, seven hundred twenty-eight billion, two hundred seventy-five million, eight hundred eighty-nine thousand, six hundred sixty-four".