382409668257 has 16 divisors (see below), whose sum is σ = 521943806208. Its totient is φ = 248912349840.

The previous prime is 382409668253. The next prime is 382409668261. The reversal of 382409668257 is 752866904283.

It is an interprime number because it is at equal distance from previous prime (382409668253) and next prime (382409668261).

It is not a de Polignac number, because 382409668257 - 2² = 382409668253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 382409668257.

It is not an unprimeable number, because it can be changed into a prime (382409668253) 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 15 ways as a sum of consecutive naturals, for example, 259123 + ... + 912120.

It is an arithmetic number, because the mean of its divisors is an integer number (32621487888).

Almost surely, 2^382409668257 is an apocalyptic number.

It is an amenable number.

382409668257 is a deficient number, since it is larger than the sum of its proper divisors (139534137951).

382409668257 is a wasteful number, since it uses less digits than its factorization.

382409668257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173820.

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 382409668257 in words is "three hundred eighty-two billion, four hundred nine million, six hundred sixty-eight thousand, two hundred fifty-seven".