18457728512 has 80 divisors (see below), whose sum is σ = 39489191280. Its totient is φ = 8588034048.

The previous prime is 18457728511. The next prime is 18457728539. The reversal of 18457728512 is 21582775481.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18457728511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762743 + ... + 786569.

It is an arithmetic number, because the mean of its divisors is an integer number (493614891).

Almost surely, 2^18457728512 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 18457728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744595640).

18457728512 is an abundant number, since it is smaller than the sum of its proper divisors (21031462768).

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

18457728512 is an equidigital number, since it uses as much as digits as its factorization.

18457728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23951 (or 23935 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 50.

The spelling of 18457728512 in words is "eighteen billion, four hundred fifty-seven million, seven hundred twenty-eight thousand, five hundred twelve".