85777346192177 has 2 divisors, whose sum is σ = 85777346192178. Its totient is φ = 85777346192176.

The previous prime is 85777346192147. The next prime is 85777346192233. The reversal of 85777346192177 is 77129164377758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71475932470336 + 14301413721841 = 8454344^2 + 3781721^2 .

It is a cyclic number.

It is not a de Polignac number, because 85777346192177 - 2¹² = 85777346188081 is a prime.

It is not a weakly prime, because it can be changed into another prime (85777346192147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42888673096088 + 42888673096089.

It is an arithmetic number, because the mean of its divisors is an integer number (42888673096089).

Almost surely, 2^{85777346192177} is an apocalyptic number.

It is an amenable number.

85777346192177 is a deficient number, since it is larger than the sum of its proper divisors (1).

85777346192177 is an equidigital number, since it uses as much as digits as its factorization.

85777346192177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 871274880, while the sum is 74.

The spelling of 85777346192177 in words is "eighty-five trillion, seven hundred seventy-seven billion, three hundred forty-six million, one hundred ninety-two thousand, one hundred seventy-seven".