282768846768 has 120 divisors (see below), whose sum is σ = 813035574000. Its totient is φ = 91676385792.

The previous prime is 282768846761. The next prime is 282768846803. The reversal of 282768846768 is 867648867282.

282768846768 is a `hidden beast` number, since 2 + 8 + 27 + 6 + 88 + 467 + 68 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 282768846696 and 282768846705.

It is not an unprimeable number, because it can be changed into a prime (282768846761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18475183 + ... + 18490481.

It is an arithmetic number, because the mean of its divisors is an integer number (6775296450).

Almost surely, 2^282768846768 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 282768846768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406517787000).

282768846768 is an abundant number, since it is smaller than the sum of its proper divisors (530266727232).

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

282768846768 is a wasteful number, since it uses less digits than its factorization.

282768846768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18819 (or 18810 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 282768846768 in words is "two hundred eighty-two billion, seven hundred sixty-eight million, eight hundred forty-six thousand, seven hundred sixty-eight".