282677133312 has 960 divisors, whose sum is σ = 1031767296000. Its totient is φ = 77253378048.

The previous prime is 282677133253. The next prime is 282677133317. The reversal of 282677133312 is 213331776282.

It is a happy number.

282677133312 is a `hidden beast` number, since 2 + 8 + 267 + 71 + 3 + 3 + 312 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (282677133317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12290310133 + ... + 12290310155.

It is an arithmetic number, because the mean of its divisors is an integer number (1074757600).

Almost surely, 2^282677133312 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 282677133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515883648000).

282677133312 is an abundant number, since it is smaller than the sum of its proper divisors (749090162688).

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

282677133312 is an frugal number, since it uses more digits than its factorization.

282677133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 35 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 282677133312 in words is "two hundred eighty-two billion, six hundred seventy-seven million, one hundred thirty-three thousand, three hundred twelve".