345543444422129 has 2 divisors, whose sum is σ = 345543444422130. Its totient is φ = 345543444422128.

The previous prime is 345543444421951. The next prime is 345543444422213. The reversal of 345543444422129 is 921224444345543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334352927502400 + 11190516919729 = 18285320^2 + 3345223^2 .

It is a cyclic number.

It is not a de Polignac number, because 345543444422129 - 2⁸ = 345543444421873 is a prime.

It is not a weakly prime, because it can be changed into another prime (345543444421129) 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, 172771722211064 + 172771722211065.

It is an arithmetic number, because the mean of its divisors is an integer number (172771722211065).

Almost surely, 2^{345543444422129} is an apocalyptic number.

It is an amenable number.

345543444422129 is a deficient number, since it is larger than the sum of its proper divisors (1).

345543444422129 is an equidigital number, since it uses as much as digits as its factorization.

345543444422129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 66355200, while the sum is 56.

The spelling of 345543444422129 in words is "three hundred forty-five trillion, five hundred forty-three billion, four hundred forty-four million, four hundred twenty-two thousand, one hundred twenty-nine".