284721650532 has 576 divisors, whose sum is σ = 895762022400. Its totient is φ = 77837760000.

The previous prime is 284721650497. The next prime is 284721650539. The reversal of 284721650532 is 235056127482.

284721650532 is a `hidden beast` number, since 2 + 8 + 47 + 21 + 6 + 50 + 532 = 666.

It is not an unprimeable number, because it can be changed into a prime (284721650539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 546490432 + ... + 546490952.

It is an arithmetic number, because the mean of its divisors is an integer number (1555142400).

Almost surely, 2^284721650532 is an apocalyptic number.

284721650532 is a gapful number since it is divisible by the number (22) 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 284721650532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447881011200).

284721650532 is an abundant number, since it is smaller than the sum of its proper divisors (611040371868).

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

284721650532 is a wasteful number, since it uses less digits than its factorization.

284721650532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 284721650532 in words is "two hundred eighty-four billion, seven hundred twenty-one million, six hundred fifty thousand, five hundred thirty-two".