282324485664 has 768 divisors, whose sum is σ = 963990720000. Its totient is φ = 79654109184.

The previous prime is 282324485633. The next prime is 282324485687. The reversal of 282324485664 is 466584423282.

282324485664 is a `hidden beast` number, since 2 + 8 + 2 + 32 + 4 + 48 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 282324485664.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1232857902 + ... + 1232858130.

It is an arithmetic number, because the mean of its divisors is an integer number (1255196250).

Almost surely, 2^282324485664 is an apocalyptic number.

282324485664 is a gapful number since it is divisible by the number (24) 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 282324485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481995360000).

282324485664 is an abundant number, since it is smaller than the sum of its proper divisors (681666234336).

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

282324485664 is a wasteful number, since it uses less digits than its factorization.

282324485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 282324485664 in words is "two hundred eighty-two billion, three hundred twenty-four million, four hundred eighty-five thousand, six hundred sixty-four".