34628776082833 has 2 divisors, whose sum is σ = 34628776082834. Its totient is φ = 34628776082832.

The previous prime is 34628776082819. The next prime is 34628776082891. The reversal of 34628776082833 is 33828067782643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33718322335504 + 910453747329 = 5806748^2 + 954177^2 .

It is a cyclic number.

It is not a de Polignac number, because 34628776082833 - 2¹⁷ = 34628775951761 is a prime.

It is not a weakly prime, because it can be changed into another prime (34628776082893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17314388041416 + 17314388041417.

It is an arithmetic number, because the mean of its divisors is an integer number (17314388041417).

Almost surely, 2^{34628776082833} is an apocalyptic number.

It is an amenable number.

34628776082833 is a deficient number, since it is larger than the sum of its proper divisors (1).

34628776082833 is an equidigital number, since it uses as much as digits as its factorization.

34628776082833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 390168576, while the sum is 67.

The spelling of 34628776082833 in words is "thirty-four trillion, six hundred twenty-eight billion, seven hundred seventy-six million, eighty-two thousand, eight hundred thirty-three".