14641333314641 has 8 divisors (see below), whose sum is σ = 16361933460768. Its totient is φ = 12985661476000.

The previous prime is 14641333314599. The next prime is 14641333314649.

It is a happy number.

14641333314641 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14641333314641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14641333314592 and 14641333314601.

It is not an unprimeable number, because it can be changed into a prime (14641333314649) 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, 16232076395 + ... + 16232077296.

It is an arithmetic number, because the mean of its divisors is an integer number (2045241682596).

Almost surely, 2^{14641333314641} is an apocalyptic number.

14641333314641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14641333314641 is a deficient number, since it is larger than the sum of its proper divisors (1720600146127).

14641333314641 is a wasteful number, since it uses less digits than its factorization.

14641333314641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32464153743.

The product of its digits is 746496, while the sum is 44.

It can be divided in two parts, 1464133 and 3314641, that added together give a palindrome (4778774).

The spelling of 14641333314641 in words is "fourteen trillion, six hundred forty-one billion, three hundred thirty-three million, three hundred fourteen thousand, six hundred forty-one".