257164848001 has 16 divisors (see below), whose sum is σ = 263437158400. Its totient is φ = 250977460608.

The previous prime is 257164847993. The next prime is 257164848037. The reversal of 257164848001 is 100848461752.

It is a cyclic number.

It is not a de Polignac number, because 257164848001 - 2³ = 257164847993 is a prime.

It is a super-2 number, since 2×257164848001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257164848071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3477115 + ... + 3550303.

It is an arithmetic number, because the mean of its divisors is an integer number (16464822400).

Almost surely, 2^257164848001 is an apocalyptic number.

It is an amenable number.

257164848001 is a deficient number, since it is larger than the sum of its proper divisors (6272310399).

257164848001 is a wasteful number, since it uses less digits than its factorization.

257164848001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73768.

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 257164848001 in words is "two hundred fifty-seven billion, one hundred sixty-four million, eight hundred forty-eight thousand, one".