85777346192233 has 2 divisors, whose sum is σ = 85777346192234. Its totient is φ = 85777346192232.

The previous prime is 85777346192177. The next prime is 85777346192297. The reversal of 85777346192233 is 33229164377758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64905532621609 + 20871813570624 = 8056397^2 + 4568568^2 .

It is a cyclic number.

It is not a de Polignac number, because 85777346192233 - 2²¹ = 85777344095081 is a prime.

It is not a weakly prime, because it can be changed into another prime (85777346192633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42888673096116 + 42888673096117.

It is an arithmetic number, because the mean of its divisors is an integer number (42888673096117).

Almost surely, 2^{85777346192233} is an apocalyptic number.

It is an amenable number.

85777346192233 is a deficient number, since it is larger than the sum of its proper divisors (1).

85777346192233 is an equidigital number, since it uses as much as digits as its factorization.

85777346192233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 320060160, while the sum is 67.

The spelling of 85777346192233 in words is "eighty-five trillion, seven hundred seventy-seven billion, three hundred forty-six million, one hundred ninety-two thousand, two hundred thirty-three".