13824742144 has 72 divisors (see below), whose sum is σ = 28847544320. Its totient is φ = 6604416000.

The previous prime is 13824742121. The next prime is 13824742177. The reversal of 13824742144 is 44124742831.

It is a super-2 number, since 2×13824742144² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13824742097 and 13824742106.

It is an unprimeable number.

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, 615919 + ... + 637969.

Almost surely, 2^13824742144 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 13824742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423772160).

13824742144 is an abundant number, since it is smaller than the sum of its proper divisors (15022802176).

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

13824742144 is an equidigital number, since it uses as much as digits as its factorization.

13824742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22177 (or 22163 counting only the distinct ones).

The product of its digits is 172032, while the sum is 40.

The spelling of 13824742144 in words is "thirteen billion, eight hundred twenty-four million, seven hundred forty-two thousand, one hundred forty-four".