345553210354241 has 2 divisors, whose sum is σ = 345553210354242. Its totient is φ = 345553210354240.

The previous prime is 345553210354207. The next prime is 345553210354307. The reversal of 345553210354241 is 142453012355543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181643545350400 + 163909665003841 = 13477520^2 + 12802721^2 .

It is a cyclic number.

It is not a de Polignac number, because 345553210354241 - 2¹⁰ = 345553210353217 is a prime.

It is a super-2 number, since 2×345553210354241² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345553210354741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172776605177120 + 172776605177121.

It is an arithmetic number, because the mean of its divisors is an integer number (172776605177121).

Almost surely, 2^{345553210354241} is an apocalyptic number.

It is an amenable number.

345553210354241 is a deficient number, since it is larger than the sum of its proper divisors (1).

345553210354241 is an equidigital number, since it uses as much as digits as its factorization.

345553210354241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320000, while the sum is 47.

The spelling of 345553210354241 in words is "three hundred forty-five trillion, five hundred fifty-three billion, two hundred ten million, three hundred fifty-four thousand, two hundred forty-one".