382048627967957 has 2 divisors, whose sum is σ = 382048627967958. Its totient is φ = 382048627967956.

The previous prime is 382048627967933. The next prime is 382048627968011. The reversal of 382048627967957 is 759769726840283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311457057237316 + 70591570730641 = 17648146^2 + 8401879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-382048627967957 is a prime.

It is a super-2 number, since 2×382048627967957² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382048627967917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191024313983978 + 191024313983979.

It is an arithmetic number, because the mean of its divisors is an integer number (191024313983979).

Almost surely, 2^{382048627967957} is an apocalyptic number.

It is an amenable number.

382048627967957 is a deficient number, since it is larger than the sum of its proper divisors (1).

382048627967957 is an equidigital number, since it uses as much as digits as its factorization.

382048627967957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15362887680, while the sum is 83.

The spelling of 382048627967957 in words is "three hundred eighty-two trillion, forty-eight billion, six hundred twenty-seven million, nine hundred sixty-seven thousand, nine hundred fifty-seven".