34073711609281 has 2 divisors, whose sum is σ = 34073711609282. Its totient is φ = 34073711609280.

The previous prime is 34073711609207. The next prime is 34073711609303. The reversal of 34073711609281 is 18290611737043.

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., 33628215432256 + 445496177025 = 5798984^2 + 667455^2 .

It is a cyclic number.

It is not a de Polignac number, because 34073711609281 - 2¹¹ = 34073711607233 is a prime.

It is a super-2 number, since 2×34073711609281² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34073711609081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17036855804640 + 17036855804641.

It is an arithmetic number, because the mean of its divisors is an integer number (17036855804641).

Almost surely, 2^{34073711609281} is an apocalyptic number.

It is an amenable number.

34073711609281 is a deficient number, since it is larger than the sum of its proper divisors (1).

34073711609281 is an equidigital number, since it uses as much as digits as its factorization.

34073711609281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 34073711609281 in words is "thirty-four trillion, seventy-three billion, seven hundred eleven million, six hundred nine thousand, two hundred eighty-one".