1605364664085 has 144 divisors (see below), whose sum is σ = 3486948467184. Its totient is φ = 677231622144.

The previous prime is 1605364664077. The next prime is 1605364664089. The reversal of 1605364664085 is 5804664635061.

1605364664085 is a `hidden beast` number, since 1 + 6 + 0 + 536 + 4 + 66 + 40 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 342074086641 + 1263290577444 = 584871^2 + 1123962^2 .

It is not a de Polignac number, because 1605364664085 - 2³ = 1605364664077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605364664089) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141398769 + ... + 141410121.

It is an arithmetic number, because the mean of its divisors is an integer number (24214919911).

Almost surely, 2^{1605364664085} is an apocalyptic number.

1605364664085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1605364664085 is an abundant number, since it is smaller than the sum of its proper divisors (1881583803099).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1605364664085 is a wasteful number, since it uses less digits than its factorization.

1605364664085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16324 (or 16314 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 1605364664085 in words is "one trillion, six hundred five billion, three hundred sixty-four million, six hundred sixty-four thousand, eighty-five".