214405141410353 has 2 divisors, whose sum is σ = 214405141410354. Its totient is φ = 214405141410352.

The previous prime is 214405141410329. The next prime is 214405141410401. The reversal of 214405141410353 is 353014141504412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191923812273649 + 22481329136704 = 13853657^2 + 4741448^2 .

It is a cyclic number.

It is not a de Polignac number, because 214405141410353 - 2¹² = 214405141406257 is a prime.

It is a super-3 number, since 3×214405141410353³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (214405141410553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107202570705176 + 107202570705177.

It is an arithmetic number, because the mean of its divisors is an integer number (107202570705177).

Almost surely, 2^{214405141410353} is an apocalyptic number.

It is an amenable number.

214405141410353 is a deficient number, since it is larger than the sum of its proper divisors (1).

214405141410353 is an equidigital number, since it uses as much as digits as its factorization.

214405141410353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 214405141410353 its reverse (353014141504412), we get a palindrome (567419282914765).

The spelling of 214405141410353 in words is "two hundred fourteen trillion, four hundred five billion, one hundred forty-one million, four hundred ten thousand, three hundred fifty-three".