34214041231009 has 2 divisors, whose sum is σ = 34214041231010. Its totient is φ = 34214041231008.

The previous prime is 34214041230991. The next prime is 34214041231031. The reversal of 34214041231009 is 90013214041243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31897870752400 + 2316170478609 = 5647820^2 + 1521897^2 .

It is a cyclic number.

It is not a de Polignac number, because 34214041231009 - 2²⁹ = 34213504360097 is a prime.

It is a super-3 number, since 3×34214041231009³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34214041231309) 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, 17107020615504 + 17107020615505.

It is an arithmetic number, because the mean of its divisors is an integer number (17107020615505).

Almost surely, 2^{34214041231009} is an apocalyptic number.

It is an amenable number.

34214041231009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34214041231009 is an equidigital number, since it uses as much as digits as its factorization.

34214041231009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 34214041231009 in words is "thirty-four trillion, two hundred fourteen billion, forty-one million, two hundred thirty-one thousand, nine".