382395061161 has 63 divisors (see below), whose sum is σ = 590197994631. Its totient is φ = 247639328784.

The previous prime is 382395061151. The next prime is 382395061183. The reversal of 382395061161 is 161160593283.

The square root of 382395061161 is 618381.

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

382395061161 is a `hidden beast` number, since 3 + 8 + 23 + 9 + 5 + 0 + 611 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 342172352025 + 40222709136 = 584955^2 + 200556^2 .

It is not a de Polignac number, because 382395061161 - 2⁷ = 382395061033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382395061121) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 617762310 + ... + 617762928.

It is an arithmetic number, because the mean of its divisors is an integer number (9368222137).

Almost surely, 2^382395061161 is an apocalyptic number.

382395061161 is the 618381-st square number.

382395061161 is the 309191-st centered octagonal number.

It is an amenable number.

382395061161 is a deficient number, since it is larger than the sum of its proper divisors (207802933470).

382395061161 is an frugal number, since it uses more digits than its factorization.

382395061161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 382395061161 in words is "three hundred eighty-two billion, three hundred ninety-five million, sixty-one thousand, one hundred sixty-one".