382609085761 has 12 divisors (see below), whose sum is σ = 455931386820. Its totient is φ = 319951847040.

The previous prime is 382609085759. The next prime is 382609085783. The reversal of 382609085761 is 167580906283.

It can be written as a sum of positive squares in 2 ways, for example, as 172976969025 + 209632116736 = 415905^2 + 457856^2 .

It is not a de Polignac number, because 382609085761 - 2¹ = 382609085759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382609085731) 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 11 ways as a sum of consecutive naturals, for example, 95221756 + ... + 95225773.

It is an arithmetic number, because the mean of its divisors is an integer number (37994282235).

Almost surely, 2^382609085761 is an apocalyptic number.

It is an amenable number.

382609085761 is a deficient number, since it is larger than the sum of its proper divisors (73322301059).

382609085761 is a wasteful number, since it uses less digits than its factorization.

382609085761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190447584 (or 190447577 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 382609085761 in words is "three hundred eighty-two billion, six hundred nine million, eighty-five thousand, seven hundred sixty-one".