214338020289 has 16 divisors (see below), whose sum is σ = 294564718272. Its totient is φ = 138550180608.

The previous prime is 214338020213. The next prime is 214338020291. The reversal of 214338020289 is 982020833412.

214338020289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214338020289 - 2⁸ = 214338020033 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214338020289.

It is not an unprimeable number, because it can be changed into a prime (214338024289) 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 15 ways as a sum of consecutive naturals, for example, 6046324 + ... + 6081669.

It is an arithmetic number, because the mean of its divisors is an integer number (18410294892).

Almost surely, 2^214338020289 is an apocalyptic number.

It is an amenable number.

214338020289 is a deficient number, since it is larger than the sum of its proper divisors (80226697983).

214338020289 is a wasteful number, since it uses less digits than its factorization.

214338020289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12128176.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 214338020289 in words is "two hundred fourteen billion, three hundred thirty-eight million, twenty thousand, two hundred eighty-nine".