314412044104201 has 2 divisors, whose sum is σ = 314412044104202. Its totient is φ = 314412044104200.

The previous prime is 314412044104183. The next prime is 314412044104241. The reversal of 314412044104201 is 102401440214413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269028917214201 + 45383126890000 = 16402101^2 + 6736700^2 .

It is a cyclic number.

It is not a de Polignac number, because 314412044104201 - 2¹³ = 314412044096009 is a prime.

It is not a weakly prime, because it can be changed into another prime (314412044104241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157206022052100 + 157206022052101.

It is an arithmetic number, because the mean of its divisors is an integer number (157206022052101).

Almost surely, 2^{314412044104201} is an apocalyptic number.

It is an amenable number.

314412044104201 is a deficient number, since it is larger than the sum of its proper divisors (1).

314412044104201 is an equidigital number, since it uses as much as digits as its factorization.

314412044104201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 314412044104201 its reverse (102401440214413), we get a palindrome (416813484318614).

The spelling of 314412044104201 in words is "three hundred fourteen trillion, four hundred twelve billion, forty-four million, one hundred four thousand, two hundred one".