13289238144 has 384 divisors, whose sum is σ = 47538691200. Its totient is φ = 3469713408.

The previous prime is 13289238091. The next prime is 13289238161. The reversal of 13289238144 is 44183298231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13289238144.

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, 11426107 + ... + 11427269.

It is an arithmetic number, because the mean of its divisors is an integer number (123798675).

Almost surely, 2^13289238144 is an apocalyptic number.

13289238144 is a gapful number since it is divisible by the number (14) 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 13289238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769345600).

13289238144 is an abundant number, since it is smaller than the sum of its proper divisors (34249453056).

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

13289238144 is a wasteful number, since it uses less digits than its factorization.

13289238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1297 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 13289238144 in words is "thirteen billion, two hundred eighty-nine million, two hundred thirty-eight thousand, one hundred forty-four".