14676267641 has 48 divisors (see below), whose sum is σ = 18138038400. Its totient is φ = 11627387136.

The previous prime is 14676267631. The next prime is 14676267643.

It is a happy number.

14676267641 is nontrivially palindromic in base 10.

14676267641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-14676267641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14676267641.

It is not an unprimeable number, because it can be changed into a prime (14676267643) 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 47 ways as a sum of consecutive naturals, for example, 25792805 + ... + 25793373.

It is an arithmetic number, because the mean of its divisors is an integer number (377875800).

Almost surely, 2^14676267641 is an apocalyptic number.

It is an amenable number.

14676267641 is a deficient number, since it is larger than the sum of its proper divisors (3461770759).

14676267641 is a wasteful number, since it uses less digits than its factorization.

14676267641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 827 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The spelling of 14676267641 in words is "fourteen billion, six hundred seventy-six million, two hundred sixty-seven thousand, six hundred forty-one".