214334141204257 has 2 divisors, whose sum is σ = 214334141204258. Its totient is φ = 214334141204256.

The previous prime is 214334141204237. The next prime is 214334141204299. The reversal of 214334141204257 is 752402141433412.

214334141204257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214287175379601 + 46965824656 = 14638551^2 + 216716^2 .

It is a cyclic number.

It is not a de Polignac number, because 214334141204257 - 2²⁷ = 214334006986529 is a prime.

It is not a weakly prime, because it can be changed into another prime (214334141204237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107167070602128 + 107167070602129.

It is an arithmetic number, because the mean of its divisors is an integer number (107167070602129).

Almost surely, 2^{214334141204257} is an apocalyptic number.

It is an amenable number.

214334141204257 is a deficient number, since it is larger than the sum of its proper divisors (1).

214334141204257 is an equidigital number, since it uses as much as digits as its factorization.

214334141204257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 645120, while the sum is 43.

Adding to 214334141204257 its reverse (752402141433412), we get a palindrome (966736282637669).

The spelling of 214334141204257 in words is "two hundred fourteen trillion, three hundred thirty-four billion, one hundred forty-one million, two hundred four thousand, two hundred fifty-seven".