85346830801 has 2 divisors, whose sum is σ = 85346830802. Its totient is φ = 85346830800.

The previous prime is 85346830783. The next prime is 85346830813. The reversal of 85346830801 is 10803864358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53176821201 + 32170009600 = 230601^2 + 179360^2 .

It is a cyclic number.

It is not a de Polignac number, because 85346830801 - 2²⁹ = 84809959889 is a prime.

It is not a weakly prime, because it can be changed into another prime (85346830841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42673415400 + 42673415401.

It is an arithmetic number, because the mean of its divisors is an integer number (42673415401).

Almost surely, 2^85346830801 is an apocalyptic number.

It is an amenable number.

85346830801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85346830801 is an equidigital number, since it uses as much as digits as its factorization.

85346830801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 85346830801 in words is "eighty-five billion, three hundred forty-six million, eight hundred thirty thousand, eight hundred one".