14214677641241 has 24 divisors (see below), whose sum is σ = 17933091950592. Its totient is φ = 11028833956800.

The previous prime is 14214677641231. The next prime is 14214677641261.

14214677641241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14214677641241 - 2²⁶ = 14214610532377 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14214677641241.

It is not an unprimeable number, because it can be changed into a prime (14214677641201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35816345 + ... + 36211046.

It is an arithmetic number, because the mean of its divisors is an integer number (747212164608).

Almost surely, 2^{14214677641241} is an apocalyptic number.

14214677641241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14214677641241 is a deficient number, since it is larger than the sum of its proper divisors (3718414309351).

14214677641241 is a wasteful number, since it uses less digits than its factorization.

14214677641241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72027653 (or 72027642 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The spelling of 14214677641241 in words is "fourteen trillion, two hundred fourteen billion, six hundred seventy-seven million, six hundred forty-one thousand, two hundred forty-one".