14641433414641 has 8 divisors (see below), whose sum is σ = 15978020774400. Its totient is φ = 13305770714640.

The previous prime is 14641433414591. The next prime is 14641433414723.

It is a happy number.

14641433414641 is nontrivially palindromic in base 10.

14641433414641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14641433414641 - 2³⁷ = 14503994461169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14641433414591 and 14641433414600.

It is not an unprimeable number, because it can be changed into a prime (14641433414441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231131826 + ... + 231195163.

It is an arithmetic number, because the mean of its divisors is an integer number (1997252596800).

Almost surely, 2^{14641433414641} is an apocalyptic number.

14641433414641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14641433414641 is a deficient number, since it is larger than the sum of its proper divisors (1336587359759).

14641433414641 is a wasteful number, since it uses less digits than its factorization.

14641433414641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462329879.

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 1464143 and 3414641, that added together give a palindrome (4878784).

The spelling of 14641433414641 in words is "fourteen trillion, six hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, six hundred forty-one".