344501261329 has 2 divisors, whose sum is σ = 344501261330. Its totient is φ = 344501261328.

The previous prime is 344501261257. The next prime is 344501261333. The reversal of 344501261329 is 923162105443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335912976400 + 8588284929 = 579580^2 + 92673^2 .

It is a cyclic number.

It is not a de Polignac number, because 344501261329 - 2¹³ = 344501253137 is a prime.

It is a super-2 number, since 2×344501261329² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344501261291 and 344501261300.

It is not a weakly prime, because it can be changed into another prime (344501261359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172250630664 + 172250630665.

It is an arithmetic number, because the mean of its divisors is an integer number (172250630665).

Almost surely, 2^344501261329 is an apocalyptic number.

It is an amenable number.

344501261329 is a deficient number, since it is larger than the sum of its proper divisors (1).

344501261329 is an equidigital number, since it uses as much as digits as its factorization.

344501261329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 344501261329 in words is "three hundred forty-four billion, five hundred one million, two hundred sixty-one thousand, three hundred twenty-nine".