282682942946880 has 1792 divisors, whose sum is σ = 1117394199300096. Its totient is φ = 59084321587200.

The previous prime is 282682942946857. The next prime is 282682942946893. The reversal of 282682942946880 is 88649249286282.

It is a junction number, because it is equal to n+sod(n) for n = 282682942946796 and 282682942946805.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 420034090224 + ... + 420034090896.

Almost surely, 2^{282682942946880} is an apocalyptic number.

282682942946880 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 282682942946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558697099650048).

282682942946880 is an abundant number, since it is smaller than the sum of its proper divisors (834711256353216).

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

282682942946880 is a wasteful number, since it uses less digits than its factorization.

282682942946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 3057647616, while the sum is 78.

The spelling of 282682942946880 in words is "two hundred eighty-two trillion, six hundred eighty-two billion, nine hundred forty-two million, nine hundred forty-six thousand, eight hundred eighty".