312445323544129 has 2 divisors, whose sum is σ = 312445323544130. Its totient is φ = 312445323544128.

The previous prime is 312445323544087. The next prime is 312445323544217. The reversal of 312445323544129 is 921445323544213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208463496210225 + 103981827333904 = 14438265^2 + 10197148^2 .

It is a cyclic number.

It is not a de Polignac number, because 312445323544129 - 2⁴³ = 303649230521921 is a prime.

It is a super-2 number, since 2×312445323544129² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312445323544829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156222661772064 + 156222661772065.

It is an arithmetic number, because the mean of its divisors is an integer number (156222661772065).

Almost surely, 2^{312445323544129} is an apocalyptic number.

It is an amenable number.

312445323544129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312445323544129 is an equidigital number, since it uses as much as digits as its factorization.

312445323544129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12441600, while the sum is 52.

The spelling of 312445323544129 in words is "three hundred twelve trillion, four hundred forty-five billion, three hundred twenty-three million, five hundred forty-four thousand, one hundred twenty-nine".