382815675841 has 9 divisors (see below), whose sum is σ = 386632780641. Its totient is φ = 379035909252.

The previous prime is 382815675833. The next prime is 382815675859. The reversal of 382815675841 is 148576518283.

The square root of 382815675841 is 618721.

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

It is not a de Polignac number, because 382815675841 - 2³ = 382815675833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382815673841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63725260 + ... + 63731266.

It is an arithmetic number, because the mean of its divisors is an integer number (42959197849).

Almost surely, 2^382815675841 is an apocalyptic number.

382815675841 is the 618721-st square number.

382815675841 is the 309361-st centered octagonal number.

It is an amenable number.

382815675841 is a deficient number, since it is larger than the sum of its proper divisors (3817104800).

382815675841 is an frugal number, since it uses more digits than its factorization.

382815675841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12220 (or 6110 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 58.

The spelling of 382815675841 in words is "three hundred eighty-two billion, eight hundred fifteen million, six hundred seventy-five thousand, eight hundred forty-one".