814344104377 has 2 divisors, whose sum is σ = 814344104378. Its totient is φ = 814344104376.

The previous prime is 814344104347. The next prime is 814344104419. The reversal of 814344104377 is 773401443418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 595422116496 + 218921987881 = 771636^2 + 467891^2 .

It is a cyclic number.

It is not a de Polignac number, because 814344104377 - 2²³ = 814335715769 is a prime.

It is not a weakly prime, because it can be changed into another prime (814344104347) 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, 407172052188 + 407172052189.

It is an arithmetic number, because the mean of its divisors is an integer number (407172052189).

Almost surely, 2^814344104377 is an apocalyptic number.

It is an amenable number.

814344104377 is a deficient number, since it is larger than the sum of its proper divisors (1).

814344104377 is an equidigital number, since it uses as much as digits as its factorization.

814344104377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 814344104377 in words is "eight hundred fourteen billion, three hundred forty-four million, one hundred four thousand, three hundred seventy-seven".