385148565 has 36 divisors (see below), whose sum is σ = 691472964. Its totient is φ = 198309888.

The previous prime is 385148537. The next prime is 385148579. The reversal of 385148565 is 565841583.

385148565 is a `hidden beast` number, since 3 + 85 + 1 + 4 + 8 + 565 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 439569 + 384708996 = 663^2 + 19614^2 .

It is not a de Polignac number, because 385148565 - 2⁷ = 385148437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 385148565.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 32757 + ... + 42933.

Almost surely, 2^385148565 is an apocalyptic number.

It is an amenable number.

385148565 is a deficient number, since it is larger than the sum of its proper divisors (306324399).

385148565 is a wasteful number, since it uses less digits than its factorization.

385148565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10214 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 385148565 is about 19625.2022919510. The cubic root of 385148565 is about 727.5721967532.

The spelling of 385148565 in words is "three hundred eighty-five million, one hundred forty-eight thousand, five hundred sixty-five".