282968054424 has 1152 divisors, whose sum is σ = 1026775008000. Its totient is φ = 71348428800.

The previous prime is 282968054371. The next prime is 282968054437. The reversal of 282968054424 is 424450869282.

282968054424 is a `hidden beast` number, since 2 + 8 + 2 + 96 + 8 + 0 + 544 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6901659844 + ... + 6901659884.

It is an arithmetic number, because the mean of its divisors is an integer number (891297750).

Almost surely, 2^282968054424 is an apocalyptic number.

282968054424 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 282968054424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513387504000).

282968054424 is an abundant number, since it is smaller than the sum of its proper divisors (743806953576).

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

282968054424 is a wasteful number, since it uses less digits than its factorization.

282968054424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 282968054424 in words is "two hundred eighty-two billion, nine hundred sixty-eight million, fifty-four thousand, four hundred twenty-four".