314464444464413 has 2 divisors, whose sum is σ = 314464444464414. Its totient is φ = 314464444464412.

The previous prime is 314464444464409. The next prime is 314464444464427.

It is a happy number.

314464444464413 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288736288186564 + 25728156277849 = 16992242^2 + 5072293^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 314464444464413 - 2² = 314464444464409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314464444464473) 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, 157232222232206 + 157232222232207.

It is an arithmetic number, because the mean of its divisors is an integer number (157232222232207).

Almost surely, 2^{314464444464413} is an apocalyptic number.

It is an amenable number.

314464444464413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314464444464413 is an equidigital number, since it uses as much as digits as its factorization.

314464444464413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84934656, while the sum is 56.

The spelling of 314464444464413 in words is "three hundred fourteen trillion, four hundred sixty-four billion, four hundred forty-four million, four hundred sixty-four thousand, four hundred thirteen".