257181444768 has 24 divisors (see below), whose sum is σ = 675101292768. Its totient is φ = 85727148224.

The previous prime is 257181444763. The next prime is 257181444829. The reversal of 257181444768 is 867444181752.

257181444768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×257181444768² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257181444763) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1339486596 + ... + 1339486787.

It is an arithmetic number, because the mean of its divisors is an integer number (28129220532).

Almost surely, 2^257181444768 is an apocalyptic number.

It is an amenable number.

257181444768 is an abundant number, since it is smaller than the sum of its proper divisors (417919848000).

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

257181444768 is a wasteful number, since it uses less digits than its factorization.

257181444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678973396 (or 2678973388 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 57.

The spelling of 257181444768 in words is "two hundred fifty-seven billion, one hundred eighty-one million, four hundred forty-four thousand, seven hundred sixty-eight".