284205205881 has 27 divisors (see below), whose sum is σ = 415718398927. Its totient is φ = 187099934640.

The previous prime is 284205205859. The next prime is 284205205979. The reversal of 284205205881 is 188502502482.

The square root of 284205205881 is 533109.

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

284205205881 is a `hidden beast` number, since 2 + 8 + 42 + 0 + 5 + 20 + 588 + 1 = 666.

284205205881 is digitally balanced in base 4, 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., 271085794281 + 13119411600 = 520659^2 + 114540^2 .

It is not a de Polignac number, because 284205205881 - 2²¹ = 284203108729 is a prime.

It is a super-2 number, since 2×284205205881² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284205205841) 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, 132743071 + ... + 132745211.

Almost surely, 2^284205205881 is an apocalyptic number.

284205205881 is the 533109-th square number.

284205205881 is the 266555-th centered octagonal number.

It is an amenable number.

284205205881 is a deficient number, since it is larger than the sum of its proper divisors (131513193046).

284205205881 is an frugal number, since it uses more digits than its factorization.

284205205881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 284205205881 in words is "two hundred eighty-four billion, two hundred five million, two hundred five thousand, eight hundred eighty-one".