382267408319 has 2 divisors, whose sum is σ = 382267408320. Its totient is φ = 382267408318.

The previous prime is 382267408279. The next prime is 382267408331. The reversal of 382267408319 is 913804762283.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 382267408319 - 2⁸ = 382267408063 is a prime.

It is a super-2 number, since 2×382267408319² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382267408399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191133704159 + 191133704160.

It is an arithmetic number, because the mean of its divisors is an integer number (191133704160).

Almost surely, 2^382267408319 is an apocalyptic number.

382267408319 is a deficient number, since it is larger than the sum of its proper divisors (1).

382267408319 is an equidigital number, since it uses as much as digits as its factorization.

382267408319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 382267408319 in words is "three hundred eighty-two billion, two hundred sixty-seven million, four hundred eight thousand, three hundred nineteen".