14006311344 has 100 divisors (see below), whose sum is σ = 40568565400. Its totient is φ = 4665288960.

The previous prime is 14006311289. The next prime is 14006311387. The reversal of 14006311344 is 44311360041.

14006311344 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 311 + 344 = 666.

14006311344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2198724 + ... + 2205084.

It is an arithmetic number, because the mean of its divisors is an integer number (405685654).

Almost surely, 2^14006311344 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 14006311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284282700).

14006311344 is an abundant number, since it is smaller than the sum of its proper divisors (26562254056).

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

14006311344 is a wasteful number, since it uses less digits than its factorization.

14006311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8065 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14006311344 its reverse (44311360041), we get a palindrome (58317671385).

It can be divided in two parts, 1400631 and 1344, that added together give a triangular number (1401975 = T₁₆₇₄).

The spelling of 14006311344 in words is "fourteen billion, six million, three hundred eleven thousand, three hundred forty-four".