284652126784 has 63 divisors (see below), whose sum is σ = 600190934617. Its totient is φ = 133919796224.

The previous prime is 284652126779. The next prime is 284652126797. The reversal of 284652126784 is 487621256482.

It is a happy number.

The square root of 284652126784 is 533528.

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., 221614977600 + 63037149184 = 470760^2 + 251072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72557847 + ... + 72561769.

Almost surely, 2^284652126784 is an apocalyptic number.

284652126784 is the 533528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284652126784

284652126784 is an abundant number, since it is smaller than the sum of its proper divisors (315538807833).

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

284652126784 is an frugal number, since it uses more digits than its factorization.

284652126784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 3942 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 55.

The spelling of 284652126784 in words is "two hundred eighty-four billion, six hundred fifty-two million, one hundred twenty-six thousand, seven hundred eighty-four".