57648466484675 has 12 divisors (see below), whose sum is σ = 77982652845096. Its totient is φ = 41926157443200.

The previous prime is 57648466484659. The next prime is 57648466484711.

57648466484675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57648466484675 - 2⁴ = 57648466484659 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57648466484675.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104815393334 + ... + 104815393883.

It is an arithmetic number, because the mean of its divisors is an integer number (6498554403758).

Almost surely, 2^{57648466484675} is an apocalyptic number.

57648466484675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57648466484675 is a deficient number, since it is larger than the sum of its proper divisors (20334186360421).

57648466484675 is a wasteful number, since it uses less digits than its factorization.

57648466484675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209630787238 (or 209630787233 counting only the distinct ones).

The product of its digits is 26011238400, while the sum is 80.

The spelling of 57648466484675 in words is "fifty-seven trillion, six hundred forty-eight billion, four hundred sixty-six million, four hundred eighty-four thousand, six hundred seventy-five".