284222719872 has 384 divisors, whose sum is σ = 1009786552320. Its totient is φ = 74724249600.

The previous prime is 284222719867. The next prime is 284222719919. The reversal of 284222719872 is 278917222482.

284222719872 is a `hidden beast` number, since 2 + 8 + 422 + 27 + 198 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34695297 + ... + 34703487.

It is an arithmetic number, because the mean of its divisors is an integer number (2629652480).

Almost surely, 2^284222719872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284222719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504893276160).

284222719872 is an abundant number, since it is smaller than the sum of its proper divisors (725563832448).

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

284222719872 is a wasteful number, since it uses less digits than its factorization.

284222719872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8547 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 284222719872 in words is "two hundred eighty-four billion, two hundred twenty-two million, seven hundred nineteen thousand, eight hundred seventy-two".