18147385728 has 96 divisors (see below), whose sum is σ = 52261372800. Its totient is φ = 6044451840.

The previous prime is 18147385723. The next prime is 18147385801. The reversal of 18147385728 is 82758374181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18147385721) 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 11 ways as a sum of consecutive naturals, for example, 1689238 + ... + 1699946.

It is an arithmetic number, because the mean of its divisors is an integer number (544389300).

Almost surely, 2^18147385728 is an apocalyptic number.

18147385728 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 18147385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26130686400).

18147385728 is an abundant number, since it is smaller than the sum of its proper divisors (34113987072).

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

18147385728 is a wasteful number, since it uses less digits than its factorization.

18147385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12185 counting only the distinct ones).

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

The spelling of 18147385728 in words is "eighteen billion, one hundred forty-seven million, three hundred eighty-five thousand, seven hundred twenty-eight".