257836431648 has 48 divisors (see below), whose sum is σ = 676867617216. Its totient is φ = 85939511040.

The previous prime is 257836431641. The next prime is 257836431679. The reversal of 257836431648 is 846134638752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (257836431641) 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 7 ways as a sum of consecutive naturals, for example, 1425013 + ... + 1595723.

It is an arithmetic number, because the mean of its divisors is an integer number (14101408692).

Almost surely, 2^257836431648 is an apocalyptic number.

It is an amenable number.

257836431648 is an abundant number, since it is smaller than the sum of its proper divisors (419031185568).

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

257836431648 is a wasteful number, since it uses less digits than its factorization.

257836431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186457 (or 186449 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 257836431648 in words is "two hundred fifty-seven billion, eight hundred thirty-six million, four hundred thirty-one thousand, six hundred forty-eight".