386783242561 has 27 divisors (see below), whose sum is σ = 401407976001. Its totient is φ = 372688692264.

The previous prime is 386783242519. The next prime is 386783242577. The reversal of 386783242561 is 165242387683.

The square root of 386783242561 is 621919.

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

It is not a de Polignac number, because 386783242561 - 2⁹ = 386783242049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (386783242501) 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 26 ways as a sum of consecutive naturals, for example, 3045537280 + ... + 3045537406.

Almost surely, 2^386783242561 is an apocalyptic number.

386783242561 is the 621919-th square number.

386783242561 is the 310960-th centered octagonal number.

It is an amenable number.

386783242561 is a deficient number, since it is larger than the sum of its proper divisors (14624733440).

386783242561 is an frugal number, since it uses more digits than its factorization.

386783242561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 386783242561 in words is "three hundred eighty-six billion, seven hundred eighty-three million, two hundred forty-two thousand, five hundred sixty-one".