214131324414321 has 16 divisors (see below), whose sum is σ = 317408915212800. Its totient is φ = 142674420706704.

The previous prime is 214131324414307. The next prime is 214131324414349. The reversal of 214131324414321 is 123414423131412.

214131324414321 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 1 + 324 + 4 + 1 + 4 + 321 = 666.

It is not a de Polignac number, because 214131324414321 - 2¹⁵ = 214131324381553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214131323414321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2216494401 + ... + 2216591006.

It is an arithmetic number, because the mean of its divisors is an integer number (19838057200800).

Almost surely, 2^{214131324414321} is an apocalyptic number.

It is an amenable number.

214131324414321 is a deficient number, since it is larger than the sum of its proper divisors (103277590798479).

214131324414321 is a wasteful number, since it uses less digits than its factorization.

214131324414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433087205 (or 4433087199 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 214131324414321 its reverse (123414423131412), we get a palindrome (337545747545733).

The spelling of 214131324414321 in words is "two hundred fourteen trillion, one hundred thirty-one billion, three hundred twenty-four million, four hundred fourteen thousand, three hundred twenty-one".