85945944177 has 6 divisors (see below), whose sum is σ = 124144141602. Its totient is φ = 57297296112.

The previous prime is 85945944151. The next prime is 85945944197. The reversal of 85945944177 is 77144954958.

85945944177 is a `hidden beast` number, since 8 + 5 + 9 + 459 + 4 + 4 + 177 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70692706161 + 15253238016 = 265881^2 + 123504^2 .

It is not a de Polignac number, because 85945944177 - 2⁶ = 85945944113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85945944127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4774774668 + ... + 4774774685.

It is an arithmetic number, because the mean of its divisors is an integer number (20690690267).

Almost surely, 2^85945944177 is an apocalyptic number.

It is an amenable number.

85945944177 is a deficient number, since it is larger than the sum of its proper divisors (38198197425).

85945944177 is a wasteful number, since it uses less digits than its factorization.

85945944177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549549359 (or 9549549356 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 85945944177 in words is "eighty-five billion, nine hundred forty-five million, nine hundred forty-four thousand, one hundred seventy-seven".