85346816029 has 2 divisors, whose sum is σ = 85346816030. Its totient is φ = 85346816028.

The previous prime is 85346816003. The next prime is 85346816047. The reversal of 85346816029 is 92061864358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82238753529 + 3108062500 = 286773^2 + 55750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85346816029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85346816329) 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, 42673408014 + 42673408015.

It is an arithmetic number, because the mean of its divisors is an integer number (42673408015).

Almost surely, 2^85346816029 is an apocalyptic number.

It is an amenable number.

85346816029 is a deficient number, since it is larger than the sum of its proper divisors (1).

85346816029 is an equidigital number, since it uses as much as digits as its factorization.

85346816029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 85346816029 in words is "eighty-five billion, three hundred forty-six million, eight hundred sixteen thousand, twenty-nine".