284096431248 has 240 divisors, whose sum is σ = 882173251584. Its totient is φ = 78472316160.

The previous prime is 284096431159. The next prime is 284096431259. The reversal of 284096431248 is 842134690482.

It is a self number, because there is not a number n which added to its sum of digits gives 284096431248.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136125661 + ... + 136127747.

Almost surely, 2^284096431248 is an apocalyptic number.

284096431248 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 284096431248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441086625792).

284096431248 is an abundant number, since it is smaller than the sum of its proper divisors (598076820336).

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

284096431248 is a wasteful number, since it uses less digits than its factorization.

284096431248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 284096431248 in words is "two hundred eighty-four billion, ninety-six million, four hundred thirty-one thousand, two hundred forty-eight".