257297723848 has 64 divisors (see below), whose sum is σ = 528368702400. Its totient is φ = 116492363520.

The previous prime is 257297723831. The next prime is 257297723993. The reversal of 257297723848 is 848327792752.

257297723848 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257297723848.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 45383958 + ... + 45389626.

It is an arithmetic number, because the mean of its divisors is an integer number (8255760975).

Almost surely, 2^257297723848 is an apocalyptic number.

It is an amenable number.

257297723848 is an abundant number, since it is smaller than the sum of its proper divisors (271070978552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257297723848 is a wasteful number, since it uses less digits than its factorization.

257297723848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7626 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 64.

The spelling of 257297723848 in words is "two hundred fifty-seven billion, two hundred ninety-seven million, seven hundred twenty-three thousand, eight hundred forty-eight".