314210114441 has 2 divisors, whose sum is σ = 314210114442. Its totient is φ = 314210114440.

The previous prime is 314210114389. The next prime is 314210114447. The reversal of 314210114441 is 144411012413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269257210000 + 44952904441 = 518900^2 + 212021^2 .

It is a cyclic number.

It is not a de Polignac number, because 314210114441 - 2¹⁴ = 314210098057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314210114441.

It is not a weakly prime, because it can be changed into another prime (314210114447) 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, 157105057220 + 157105057221.

It is an arithmetic number, because the mean of its divisors is an integer number (157105057221).

Almost surely, 2^314210114441 is an apocalyptic number.

It is an amenable number.

314210114441 is a deficient number, since it is larger than the sum of its proper divisors (1).

314210114441 is an equidigital number, since it uses as much as digits as its factorization.

314210114441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 314210114441 its reverse (144411012413), we get a palindrome (458621126854).

The spelling of 314210114441 in words is "three hundred fourteen billion, two hundred ten million, one hundred fourteen thousand, four hundred forty-one".