14005114344 has 192 divisors, whose sum is σ = 41479074000. Its totient is φ = 4243304448.

The previous prime is 14005114327. The next prime is 14005114349. The reversal of 14005114344 is 44341150041.

14005114344 is a `hidden beast` number, since 140 + 0 + 511 + 4 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6294518244 + 7710596100 = 79338^2 + 87810^2 .

It is a super-2 number, since 2×14005114344² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14005114349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19106202 + ... + 19106934.

Almost surely, 2^14005114344 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 14005114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739537000).

14005114344 is an abundant number, since it is smaller than the sum of its proper divisors (27473959656).

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

14005114344 is a wasteful number, since it uses less digits than its factorization.

14005114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14005114344 its reverse (44341150041), we get a palindrome (58346264385).

The spelling of 14005114344 in words is "fourteen billion, five million, one hundred fourteen thousand, three hundred forty-four".