346404553411289 has 2 divisors, whose sum is σ = 346404553411290. Its totient is φ = 346404553411288.

The previous prime is 346404553411261. The next prime is 346404553411309. The reversal of 346404553411289 is 982114355404643.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285377334403225 + 61027219008064 = 16893115^2 + 7811992^2 .

It is a cyclic number.

It is not a de Polignac number, because 346404553411289 - 2³⁶ = 346335833934553 is a prime.

It is a super-2 number, since 2×346404553411289² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (346404553417289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173202276705644 + 173202276705645.

It is an arithmetic number, because the mean of its divisors is an integer number (173202276705645).

Almost surely, 2^{346404553411289} is an apocalyptic number.

It is an amenable number.

346404553411289 is a deficient number, since it is larger than the sum of its proper divisors (1).

346404553411289 is an equidigital number, since it uses as much as digits as its factorization.

346404553411289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49766400, while the sum is 59.

The spelling of 346404553411289 in words is "three hundred forty-six trillion, four hundred four billion, five hundred fifty-three million, four hundred eleven thousand, two hundred eighty-nine".