13684441344 has 144 divisors (see below), whose sum is σ = 42306875520. Its totient is φ = 3845652480.

The previous prime is 13684441343. The next prime is 13684441367. The reversal of 13684441344 is 44314448631.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a junction number, because it is equal to n+sod(n) for n = 13684441296 and 13684441305.

It is not an unprimeable number, because it can be changed into a prime (13684441343) 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 15 ways as a sum of consecutive naturals, for example, 307072 + ... + 348800.

Almost surely, 2^13684441344 is an apocalyptic number.

13684441344 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 13684441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153437760).

13684441344 is an abundant number, since it is smaller than the sum of its proper divisors (28622434176).

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

13684441344 is an equidigital number, since it uses as much as digits as its factorization.

13684441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41816 (or 41802 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

Adding to 13684441344 its reverse (44314448631), we get a palindrome (57998889975).

The spelling of 13684441344 in words is "thirteen billion, six hundred eighty-four million, four hundred forty-one thousand, three hundred forty-four".