14334622643341 has 64 divisors (see below), whose sum is σ = 20373187000320. Its totient is φ = 9723564829440.

The previous prime is 14334622643329. The next prime is 14334622643347.

14334622643341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14334622643341 - 2⁵ = 14334622643309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14334622643291 and 14334622643300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334622643347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4493655 + ... + 6990148.

It is an arithmetic number, because the mean of its divisors is an integer number (318331046880).

Almost surely, 2^{14334622643341} is an apocalyptic number.

14334622643341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14334622643341 is a deficient number, since it is larger than the sum of its proper divisors (6038564356979).

14334622643341 is a wasteful number, since it uses less digits than its factorization.

14334622643341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11483906.

The product of its digits is 2985984, while the sum is 46.

The spelling of 14334622643341 in words is "fourteen trillion, three hundred thirty-four billion, six hundred twenty-two million, six hundred forty-three thousand, three hundred forty-one".