384609382456309 has 2 divisors, whose sum is σ = 384609382456310. Its totient is φ = 384609382456308.

The previous prime is 384609382456183. The next prime is 384609382456363. The reversal of 384609382456309 is 903654283906483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380963917780209 + 3645464676100 = 19518297^2 + 1909310^2 .

It is a cyclic number.

It is not a de Polignac number, because 384609382456309 - 2²³ = 384609374067701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (384609382456709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192304691228154 + 192304691228155.

It is an arithmetic number, because the mean of its divisors is an integer number (192304691228155).

Almost surely, 2^{384609382456309} is an apocalyptic number.

It is an amenable number.

384609382456309 is a deficient number, since it is larger than the sum of its proper divisors (1).

384609382456309 is an equidigital number, since it uses as much as digits as its factorization.

384609382456309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806215680, while the sum is 70.

The spelling of 384609382456309 in words is "three hundred eighty-four trillion, six hundred nine billion, three hundred eighty-two million, four hundred fifty-six thousand, three hundred nine".