457664663745 has 12 divisors (see below), whose sum is σ = 793285417236. Its totient is φ = 244087820640.

The previous prime is 457664663723. The next prime is 457664663767. The reversal of 457664663745 is 547366466754.

457664663745 is a `hidden beast` number, since 45 + 7 + 66 + 466 + 3 + 74 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (457664663723) and next prime (457664663767).

It can be written as a sum of positive squares in 2 ways, for example, as 160229682369 + 297434981376 = 400287^2 + 545376^2 .

It is not a de Polignac number, because 457664663745 - 2⁹ = 457664663233 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5085162886 + ... + 5085162975.

It is an arithmetic number, because the mean of its divisors is an integer number (66107118103).

Almost surely, 2^457664663745 is an apocalyptic number.

457664663745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457664663745 is a deficient number, since it is larger than the sum of its proper divisors (335620753491).

457664663745 is a wasteful number, since it uses less digits than its factorization.

457664663745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170325872 (or 10170325869 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 63.

The spelling of 457664663745 in words is "four hundred fifty-seven billion, six hundred sixty-four million, six hundred sixty-three thousand, seven hundred forty-five".