284157224960 has 384 divisors, whose sum is σ = 842063040000. Its totient is φ = 91675164672.

The previous prime is 284157224957. The next prime is 284157224993. The reversal of 284157224960 is 69422751482.

It is a junction number, because it is equal to n+sod(n) for n = 284157224899 and 284157224908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59707061 + ... + 59711819.

It is an arithmetic number, because the mean of its divisors is an integer number (2192872500).

Almost surely, 2^284157224960 is an apocalyptic number.

284157224960 is a gapful number since it is divisible by the number (20) 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 284157224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421031520000).

284157224960 is an abundant number, since it is smaller than the sum of its proper divisors (557905815040).

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

284157224960 is an equidigital number, since it uses as much as digits as its factorization.

284157224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 284157224960 in words is "two hundred eighty-four billion, one hundred fifty-seven million, two hundred twenty-four thousand, nine hundred sixty".