385885712809 has 9 divisors (see below), whose sum is σ = 409931335461. Its totient is φ = 363176614080.

The previous prime is 385885712803. The next prime is 385885712813. The reversal of 385885712809 is 908217588583.

The square root of 385885712809 is 621197.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 221883392025 + 164002320784 = 471045^2 + 404972^2 .

It is not a de Polignac number, because 385885712809 - 2⁵ = 385885712777 is a prime.

It is a super-2 number, since 2×385885712809² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385885712803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10542079 + ... + 10578619.

Almost surely, 2^385885712809 is an apocalyptic number.

385885712809 is the 621197-th square number.

385885712809 is the 310599-th centered octagonal number.

It is an amenable number.

385885712809 is a deficient number, since it is larger than the sum of its proper divisors (24045622652).

385885712809 is an frugal number, since it uses more digits than its factorization.

385885712809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73116 (or 36558 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 64.

Multiplying 385885712809 by its sum of digits (64), we get a square (24696685619776 = 4969576²).

The spelling of 385885712809 in words is "three hundred eighty-five billion, eight hundred eighty-five million, seven hundred twelve thousand, eight hundred nine".