284071944256 has 63 divisors (see below), whose sum is σ = 598967771709. Its totient is φ = 133646803968.

The previous prime is 284071944241. The next prime is 284071944257. The reversal of 284071944256 is 652449170482.

The square root of 284071944256 is 532984.

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

It can be written as a sum of positive squares in only one way, i.e., 221163278400 + 62908665856 = 470280^2 + 250816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284071944257) 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, 72483865 + ... + 72487783.

Almost surely, 2^284071944256 is an apocalyptic number.

284071944256 is the 532984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284071944256

284071944256 is an abundant number, since it is smaller than the sum of its proper divisors (314895827453).

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

284071944256 is an frugal number, since it uses more digits than its factorization.

284071944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 284071944256 in words is "two hundred eighty-four billion, seventy-one million, nine hundred forty-four thousand, two hundred fifty-six".