13728472841472 has 144 divisors (see below), whose sum is σ = 36629939187072. Its totient is φ = 4564619714560.

The previous prime is 13728472841453. The next prime is 13728472841491. The reversal of 13728472841472 is 27414827482731.

13728472841472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13728472841453) and next prime (13728472841491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418665498 + ... + 1418675174.

It is an arithmetic number, because the mean of its divisors is an integer number (254374577688).

Almost surely, 2^{13728472841472} is an apocalyptic number.

13728472841472 is a gapful number since it is divisible by the number (12) 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 13728472841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314969593536).

13728472841472 is an abundant number, since it is smaller than the sum of its proper divisors (22901466345600).

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

13728472841472 is an equidigital number, since it uses as much as digits as its factorization.

13728472841472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14164 (or 14150 counting only the distinct ones).

The product of its digits is 33718272, while the sum is 60.

The spelling of 13728472841472 in words is "thirteen trillion, seven hundred twenty-eight billion, four hundred seventy-two million, eight hundred forty-one thousand, four hundred seventy-two".