284821884648 has 384 divisors, whose sum is σ = 908544000000. Its totient is φ = 78940832256.

The previous prime is 284821884629. The next prime is 284821884691. The reversal of 284821884648 is 846488128482.

284821884648 is a `hidden beast` number, since 2 + 8 + 482 + 18 + 84 + 64 + 8 = 666.

It is a super-2 number, since 2×284821884648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816108378 + ... + 816108726.

It is an arithmetic number, because the mean of its divisors is an integer number (2366000000).

Almost surely, 2^284821884648 is an apocalyptic number.

284821884648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284821884648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454272000000).

284821884648 is an abundant number, since it is smaller than the sum of its proper divisors (623722115352).

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

284821884648 is a wasteful number, since it uses less digits than its factorization.

284821884648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

The product of its digits is 50331648, while the sum is 63.

The spelling of 284821884648 in words is "two hundred eighty-four billion, eight hundred twenty-one million, eight hundred eighty-four thousand, six hundred forty-eight".