282442966848 has 504 divisors, whose sum is σ = 966970676672. Its totient is φ = 80178149376.

The previous prime is 282442966843. The next prime is 282442966853. The reversal of 282442966848 is 848669244282.

282442966848 is a `hidden beast` number, since 2 + 8 + 2 + 442 + 96 + 68 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (282442966843) and next prime (282442966853).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282442966843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 902373540 + ... + 902373852.

Almost surely, 2^282442966848 is an apocalyptic number.

282442966848 is a gapful number since it is divisible by the number (28) 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 282442966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483485338336).

282442966848 is an abundant number, since it is smaller than the sum of its proper divisors (684527709824).

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

282442966848 is an frugal number, since it uses more digits than its factorization.

282442966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 632 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 282442966848 in words is "two hundred eighty-two billion, four hundred forty-two million, nine hundred sixty-six thousand, eight hundred forty-eight".