13848813472 has 96 divisors (see below), whose sum is σ = 30295112400. Its totient is φ = 6190276608.

The previous prime is 13848813449. The next prime is 13848813599. The reversal of 13848813472 is 27431884831.

13848813472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8200389136 + 5648424336 = 90556^2 + 75156^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522804 + ... + 3526732.

Almost surely, 2^13848813472 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 13848813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147556200).

13848813472 is an abundant number, since it is smaller than the sum of its proper divisors (16446298928).

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

13848813472 is a wasteful number, since it uses less digits than its factorization.

13848813472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4210 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The spelling of 13848813472 in words is "thirteen billion, eight hundred forty-eight million, eight hundred thirteen thousand, four hundred seventy-two".