34209006456337 has 2 divisors, whose sum is σ = 34209006456338. Its totient is φ = 34209006456336.

The previous prime is 34209006456329. The next prime is 34209006456407. The reversal of 34209006456337 is 73365460090243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23921841872016 + 10287164584321 = 4890996^2 + 3207361^2 .

It is a cyclic number.

It is not a de Polignac number, because 34209006456337 - 2³ = 34209006456329 is a prime.

It is a super-2 number, since 2×34209006456337² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34209006456307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17104503228168 + 17104503228169.

It is an arithmetic number, because the mean of its divisors is an integer number (17104503228169).

Almost surely, 2^{34209006456337} is an apocalyptic number.

It is an amenable number.

34209006456337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34209006456337 is an equidigital number, since it uses as much as digits as its factorization.

34209006456337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 52.

The spelling of 34209006456337 in words is "thirty-four trillion, two hundred nine billion, six million, four hundred fifty-six thousand, three hundred thirty-seven".