214314414201 has 12 divisors (see below), whose sum is σ = 309605615280. Its totient is φ = 142857652920.

The previous prime is 214314414179. The next prime is 214314414263. The reversal of 214314414201 is 102414413412.

214314414201 is a `hidden beast` number, since 2 + 1 + 43 + 1 + 4 + 414 + 201 = 666.

It is not a de Polignac number, because 214314414201 - 2⁶ = 214314414137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214314416201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1478871 + ... + 1617308.

It is an arithmetic number, because the mean of its divisors is an integer number (25800467940).

Almost surely, 2^214314414201 is an apocalyptic number.

It is an amenable number.

214314414201 is a deficient number, since it is larger than the sum of its proper divisors (95291201079).

214314414201 is a wasteful number, since it uses less digits than its factorization.

214314414201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103876 (or 3103873 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214314414201 its reverse (102414413412), we get a palindrome (316728827613).

The spelling of 214314414201 in words is "two hundred fourteen billion, three hundred fourteen million, four hundred fourteen thousand, two hundred one".