34845006961 has 2 divisors, whose sum is σ = 34845006962. Its totient is φ = 34845006960.

The previous prime is 34845006929. The next prime is 34845006971. The reversal of 34845006961 is 16960054843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26590194225 + 8254812736 = 163065^2 + 90856^2 .

It is a cyclic number.

It is not a de Polignac number, because 34845006961 - 2⁵ = 34845006929 is a prime.

It is a super-2 number, since 2×34845006961² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34845006901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17422503480 + 17422503481.

It is an arithmetic number, because the mean of its divisors is an integer number (17422503481).

Almost surely, 2^34845006961 is an apocalyptic number.

It is an amenable number.

34845006961 is a deficient number, since it is larger than the sum of its proper divisors (1).

34845006961 is an equidigital number, since it uses as much as digits as its factorization.

34845006961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 34845006961 in words is "thirty-four billion, eight hundred forty-five million, six thousand, nine hundred sixty-one".