257213739848 has 60 divisors (see below), whose sum is σ = 522956892045. Its totient is φ = 118602144960.

The previous prime is 257213739841. The next prime is 257213739967. The reversal of 257213739848 is 848937312752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 86811551044 + 170402188804 = 294638^2 + 412798^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=358618.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257213739841) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 242425238 + ... + 242426298.

Almost surely, 2^257213739848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257213739848

257213739848 is an abundant number, since it is smaller than the sum of its proper divisors (265743152197).

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

257213739848 is an frugal number, since it uses more digits than its factorization.

257213739848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 1076 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 59.

The spelling of 257213739848 in words is "two hundred fifty-seven billion, two hundred thirteen million, seven hundred thirty-nine thousand, eight hundred forty-eight".