14134741344 has 144 divisors (see below), whose sum is σ = 40889590560. Its totient is φ = 4630671360.

The previous prime is 14134741343. The next prime is 14134741367. The reversal of 14134741344 is 44314743141.

14134741344 is a `hidden beast` number, since 141 + 3 + 474 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14134741299 and 14134741308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134741343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7953384 + ... + 7955160.

It is an arithmetic number, because the mean of its divisors is an integer number (283955490).

Almost surely, 2^14134741344 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 14134741344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444795280).

14134741344 is an abundant number, since it is smaller than the sum of its proper divisors (26754849216).

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

14134741344 is a wasteful number, since it uses less digits than its factorization.

14134741344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2242 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 14134741344 in words is "fourteen billion, one hundred thirty-four million, seven hundred forty-one thousand, three hundred forty-four".