344314004132009 has 2 divisors, whose sum is σ = 344314004132010. Its totient is φ = 344314004132008.

The previous prime is 344314004131987. The next prime is 344314004132017. The reversal of 344314004132009 is 900231400413443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203890840531225 + 140423163600784 = 14279035^2 + 11850028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-344314004132009 is a prime.

It is a super-2 number, since 2×344314004132009² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (344314004132089) 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, 172157002066004 + 172157002066005.

It is an arithmetic number, because the mean of its divisors is an integer number (172157002066005).

Almost surely, 2^{344314004132009} is an apocalyptic number.

It is an amenable number.

344314004132009 is a deficient number, since it is larger than the sum of its proper divisors (1).

344314004132009 is an equidigital number, since it uses as much as digits as its factorization.

344314004132009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 344314004132009 in words is "three hundred forty-four trillion, three hundred fourteen billion, four million, one hundred thirty-two thousand, nine".