345436405242217 has 2 divisors, whose sum is σ = 345436405242218. Its totient is φ = 345436405242216.

The previous prime is 345436405242179. The next prime is 345436405242289. The reversal of 345436405242217 is 712242504634543.

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., 187889826558681 + 157546578683536 = 13707291^2 + 12551756^2 .

It is a cyclic number.

It is not a de Polignac number, because 345436405242217 - 2¹⁵ = 345436405209449 is a prime.

It is not a weakly prime, because it can be changed into another prime (345436405242317) 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, 172718202621108 + 172718202621109.

It is an arithmetic number, because the mean of its divisors is an integer number (172718202621109).

Almost surely, 2^{345436405242217} is an apocalyptic number.

It is an amenable number.

345436405242217 is a deficient number, since it is larger than the sum of its proper divisors (1).

345436405242217 is an equidigital number, since it uses as much as digits as its factorization.

345436405242217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19353600, while the sum is 52.

The spelling of 345436405242217 in words is "three hundred forty-five trillion, four hundred thirty-six billion, four hundred five million, two hundred forty-two thousand, two hundred seventeen".