242048256256 has 81 divisors (see below), whose sum is σ = 489728168139. Its totient is φ = 119398612992.

The previous prime is 242048256239. The next prime is 242048256259. The reversal of 242048256256 is 652652840242.

The square root of 242048256256 is 491984.

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

242048256256 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 4 ways, for example, as 76627097856 + 165421158400 = 276816^2 + 406720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242048256259) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 763559010 + ... + 763559326.

Almost surely, 2^242048256256 is an apocalyptic number.

242048256256 is the 491984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242048256256

242048256256 is an abundant number, since it is smaller than the sum of its proper divisors (247679911883).

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

242048256256 is an frugal number, since it uses more digits than its factorization.

242048256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 242048256256 in words is "two hundred forty-two billion, forty-eight million, two hundred fifty-six thousand, two hundred fifty-six".