18516841728 has 576 divisors, whose sum is σ = 66034870272. Its totient is φ = 4459069440.

The previous prime is 18516841727. The next prime is 18516841751. The reversal of 18516841728 is 82714861581.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18516841727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113600175 + ... + 113600337.

It is an arithmetic number, because the mean of its divisors is an integer number (114643872).

Almost surely, 2^18516841728 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 18516841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33017435136).

18516841728 is an abundant number, since it is smaller than the sum of its proper divisors (47518028544).

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

18516841728 is a wasteful number, since it uses less digits than its factorization.

18516841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its digits is 860160, while the sum is 51.

The spelling of 18516841728 in words is "eighteen billion, five hundred sixteen million, eight hundred forty-one thousand, seven hundred twenty-eight".