13848144 has 40 divisors (see below), whose sum is σ = 36134592. Its totient is φ = 4569600.

The previous prime is 13848143. The next prime is 13848151. The reversal of 13848144 is 44184831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13848143) 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, 3544 + ... + 6344.

Almost surely, 2^13848144 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 13848144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18067296).

13848144 is an abundant number, since it is smaller than the sum of its proper divisors (22286448).

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

13848144 is a wasteful number, since it uses less digits than its factorization.

13848144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2909 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 13848144 is about 3721.3094469555. The cubic root of 13848144 is about 240.1396409581.

The spelling of 13848144 in words is "thirteen million, eight hundred forty-eight thousand, one hundred forty-four".