257044944016 has 135 divisors (see below), whose sum is σ = 612073079001. Its totient is φ = 104254601472.

The previous prime is 257044943951. The next prime is 257044944083. The reversal of 257044944016 is 610449440752.

The square root of 257044944016 is 506996.

It is a perfect power (a square), and thus also a powerful number.

257044944016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 107046752400 + 149998191616 = 327180^2 + 387296^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 269721396 + ... + 269722348.

Almost surely, 2^257044944016 is an apocalyptic number.

257044944016 is the 506996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257044944016

257044944016 is an abundant number, since it is smaller than the sum of its proper divisors (355028134985).

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

257044944016 is an frugal number, since it uses more digits than its factorization.

257044944016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 257044944016 in words is "two hundred fifty-seven billion, forty-four million, nine hundred forty-four thousand, sixteen".