282649320000 has 1260 divisors, whose sum is σ = 1126756385040. Its totient is φ = 67495680000.

The previous prime is 282649319963. The next prime is 282649320001. The reversal of 282649320000 is 23946282.

282649320000 is a `hidden beast` number, since 2 + 8 + 2 + 649 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (282649320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6573239979 + ... + 6573240021.

Almost surely, 2^282649320000 is an apocalyptic number.

282649320000 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 282649320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563378192520).

282649320000 is an abundant number, since it is smaller than the sum of its proper divisors (844107065040).

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

282649320000 is a wasteful number, since it uses less digits than its factorization.

282649320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 282649320000 in words is "two hundred eighty-two billion, six hundred forty-nine million, three hundred twenty thousand".