18253081728 has 960 divisors, whose sum is σ = 69786604800. Its totient is φ = 4702924800.

The previous prime is 18253081723. The next prime is 18253081741. The reversal of 18253081728 is 82718035281.

18253081728 is a `hidden beast` number, since 1 + 82 + 530 + 8 + 17 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (18253081723) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 299230818 + ... + 299230878.

It is an arithmetic number, because the mean of its divisors is an integer number (72694380).

Almost surely, 2^18253081728 is an apocalyptic number.

18253081728 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 18253081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34893302400).

18253081728 is an abundant number, since it is smaller than the sum of its proper divisors (51533523072).

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

18253081728 is a wasteful number, since it uses less digits than its factorization.

18253081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 18253081728 in words is "eighteen billion, two hundred fifty-three million, eighty-one thousand, seven hundred twenty-eight".