14144799967 has 32 divisors (see below), whose sum is σ = 15233500800. Its totient is φ = 13107806208.

The previous prime is 14144799931. The next prime is 14144799971. The reversal of 14144799967 is 76999744141.

14144799967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14144799967 - 2¹⁵ = 14144767199 is a prime.

It is a super-2 number, since 2×14144799967² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144799917) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34583659 + ... + 34584067.

It is an arithmetic number, because the mean of its divisors is an integer number (476046900).

Almost surely, 2^14144799967 is an apocalyptic number.

14144799967 is a deficient number, since it is larger than the sum of its proper divisors (1088700833).

14144799967 is a wasteful number, since it uses less digits than its factorization.

14144799967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835.

The product of its digits is 13716864, while the sum is 61.

The spelling of 14144799967 in words is "fourteen billion, one hundred forty-four million, seven hundred ninety-nine thousand, nine hundred sixty-seven".