18268705728 has 336 divisors, whose sum is σ = 66532816896. Its totient is φ = 4662282240.

The previous prime is 18268705717. The next prime is 18268705757. The reversal of 18268705728 is 82750786281.

18268705728 is a `hidden beast` number, since 1 + 8 + 2 + 68 + 7 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1619275 + ... + 1630517.

It is an arithmetic number, because the mean of its divisors is an integer number (198014336).

Almost surely, 2^18268705728 is an apocalyptic number.

18268705728 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 18268705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33266408448).

18268705728 is an abundant number, since it is smaller than the sum of its proper divisors (48264111168).

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

18268705728 is a wasteful number, since it uses less digits than its factorization.

18268705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 18268705728 in words is "eighteen billion, two hundred sixty-eight million, seven hundred five thousand, seven hundred twenty-eight".