344756012129 has 2 divisors, whose sum is σ = 344756012130. Its totient is φ = 344756012128.

The previous prime is 344756012093. The next prime is 344756012131. The reversal of 344756012129 is 921210657443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302227261504 + 42528750625 = 549752^2 + 206225^2 .

It is an emirp because it is prime and its reverse (921210657443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 344756012129 - 2²⁴ = 344739234913 is a prime.

It is a super-2 number, since 2×344756012129² (a number of 24 digits) contains 22 as substring.

Together with 344756012131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344756012129.

It is not a weakly prime, because it can be changed into another prime (344756012189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172378006064 + 172378006065.

It is an arithmetic number, because the mean of its divisors is an integer number (172378006065).

Almost surely, 2^344756012129 is an apocalyptic number.

It is an amenable number.

344756012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

344756012129 is an equidigital number, since it uses as much as digits as its factorization.

344756012129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 344756012129 in words is "three hundred forty-four billion, seven hundred fifty-six million, twelve thousand, one hundred twenty-nine".