257668036548671 has 8 divisors (see below), whose sum is σ = 294507844798080. Its totient is φ = 220835750484888.

The previous prime is 257668036548649. The next prime is 257668036548673. The reversal of 257668036548671 is 176845630866752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257668036548671 - 2²² = 257668032354367 is a prime.

It is a super-2 number, since 2×257668036548671² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257668036548673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1880473001 + ... + 1880610018.

It is an arithmetic number, because the mean of its divisors is an integer number (36813480599760).

Almost surely, 2^{257668036548671} is an apocalyptic number.

257668036548671 is a deficient number, since it is larger than the sum of its proper divisors (36839808249409).

257668036548671 is an equidigital number, since it uses as much as digits as its factorization.

257668036548671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761092813.

The product of its (nonzero) digits is 2438553600, while the sum is 74.

The spelling of 257668036548671 in words is "two hundred fifty-seven trillion, six hundred sixty-eight billion, thirty-six million, five hundred forty-eight thousand, six hundred seventy-one".