284416918048 has 96 divisors (see below), whose sum is σ = 600512875200. Its totient is φ = 132123648000.

The previous prime is 284416917991. The next prime is 284416918061. The reversal of 284416918048 is 840819614482.

It is a self number, because there is not a number n which added to its sum of digits gives 284416918048.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94772548 + ... + 94775548.

It is an arithmetic number, because the mean of its divisors is an integer number (6255342450).

Almost surely, 2^284416918048 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 284416918048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300256437600).

284416918048 is an abundant number, since it is smaller than the sum of its proper divisors (316095957152).

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

284416918048 is a wasteful number, since it uses less digits than its factorization.

284416918048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 284416918048 in words is "two hundred eighty-four billion, four hundred sixteen million, nine hundred eighteen thousand, forty-eight".