34345516657 has 2 divisors, whose sum is σ = 34345516658. Its totient is φ = 34345516656.

The previous prime is 34345516643. The next prime is 34345516663. The reversal of 34345516657 is 75661554343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19982932321 + 14362584336 = 141361^2 + 119844^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34345516657 is a prime.

It is a super-2 number, since 2×34345516657² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34345516657.

It is not a weakly prime, because it can be changed into another prime (34345516697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17172758328 + 17172758329.

It is an arithmetic number, because the mean of its divisors is an integer number (17172758329).

Almost surely, 2^34345516657 is an apocalyptic number.

It is an amenable number.

34345516657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34345516657 is an equidigital number, since it uses as much as digits as its factorization.

34345516657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536000, while the sum is 49.

The spelling of 34345516657 in words is "thirty-four billion, three hundred forty-five million, five hundred sixteen thousand, six hundred fifty-seven".