284268627456 has 320 divisors, whose sum is σ = 904943508480. Its totient is φ = 78276853760.

The previous prime is 284268627403. The next prime is 284268627463. The reversal of 284268627456 is 654726862482.

It is a self number, because there is not a number n which added to its sum of digits gives 284268627456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8312665 + ... + 8346791.

It is an arithmetic number, because the mean of its divisors is an integer number (2827948464).

Almost surely, 2^284268627456 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 284268627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452471754240).

284268627456 is an abundant number, since it is smaller than the sum of its proper divisors (620674881024).

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

284268627456 is a wasteful number, since it uses less digits than its factorization.

284268627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34205 (or 34189 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 60.

The spelling of 284268627456 in words is "two hundred eighty-four billion, two hundred sixty-eight million, six hundred twenty-seven thousand, four hundred fifty-six".