3768263416457 has 2 divisors, whose sum is σ = 3768263416458. Its totient is φ = 3768263416456.

The previous prime is 3768263416451. The next prime is 3768263416459. The reversal of 3768263416457 is 7546143628673.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2076757681216 + 1691505735241 = 1441096^2 + 1300579^2 .

It is a cyclic number.

It is not a de Polignac number, because 3768263416457 - 2⁴ = 3768263416441 is a prime.

Together with 3768263416459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3768263416457.

It is not a weakly prime, because it can be changed into another prime (3768263416451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1884131708228 + 1884131708229.

It is an arithmetic number, because the mean of its divisors is an integer number (1884131708229).

Almost surely, 2^{3768263416457} is an apocalyptic number.

It is an amenable number.

3768263416457 is a deficient number, since it is larger than the sum of its proper divisors (1).

3768263416457 is an equidigital number, since it uses as much as digits as its factorization.

3768263416457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 121927680, while the sum is 62.

The spelling of 3768263416457 in words is "three trillion, seven hundred sixty-eight billion, two hundred sixty-three million, four hundred sixteen thousand, four hundred fifty-seven".