1585435023168 has 28 divisors (see below), whose sum is σ = 4194796832640. Its totient is φ = 528478340992.

The previous prime is 1585435023163. The next prime is 1585435023331. The reversal of 1585435023168 is 8613205345851.

It is a self number, because there is not a number n which added to its sum of digits gives 1585435023168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1585435023163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4128736848 + ... + 4128737231.

Almost surely, 2^{1585435023168} is an apocalyptic number.

It is an amenable number.

1585435023168 is an abundant number, since it is smaller than the sum of its proper divisors (2609361809472).

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

1585435023168 is an equidigital number, since it uses as much as digits as its factorization.

1585435023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257474094 (or 8257474084 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 1585435023168 in words is "one trillion, five hundred eighty-five billion, four hundred thirty-five million, twenty-three thousand, one hundred sixty-eight".