284823948721 has 27 divisors (see below), whose sum is σ = 314024367267. Its totient is φ = 258220085760.

The previous prime is 284823948707. The next prime is 284823948791. The reversal of 284823948721 is 127849328482.

It is a happy number.

The square root of 284823948721 is 533689.

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

It can be written as a sum of positive squares in 13 ways, for example, as 244519371121 + 40304577600 = 494489^2 + 200760^2 .

It is not a de Polignac number, because 284823948721 - 2³³ = 276234014129 is a prime.

It is a super-2 number, since 2×284823948721² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284823948791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 423215041 + ... + 423215713.

It is an arithmetic number, because the mean of its divisors is an integer number (11630532121).

Almost surely, 2^284823948721 is an apocalyptic number.

284823948721 is the 533689-th square number.

284823948721 is the 266845-th centered octagonal number.

It is an amenable number.

284823948721 is a deficient number, since it is larger than the sum of its proper divisors (29200418546).

284823948721 is an frugal number, since it uses more digits than its factorization.

284823948721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 58.

The spelling of 284823948721 in words is "two hundred eighty-four billion, eight hundred twenty-three million, nine hundred forty-eight thousand, seven hundred twenty-one".