284308441116 has 576 divisors, whose sum is σ = 909294059520. Its totient is φ = 68401428480.

The previous prime is 284308441091. The next prime is 284308441171. The reversal of 284308441116 is 611144803482.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 253168131 + ... + 253169253.

It is an arithmetic number, because the mean of its divisors is an integer number (1578635520).

Almost surely, 2^284308441116 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 284308441116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454647029760).

284308441116 is an abundant number, since it is smaller than the sum of its proper divisors (624985618404).

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

284308441116 is a wasteful number, since it uses less digits than its factorization.

284308441116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 284308441116 in words is "two hundred eighty-four billion, three hundred eight million, four hundred forty-one thousand, one hundred sixteen".