282333942444672 has 768 divisors, whose sum is σ = 867156518592000. Its totient is φ = 91401343488000.

The previous prime is 282333942444613. The next prime is 282333942444703. The reversal of 282333942444672 is 276444249333282.

282333942444672 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 33 + 94 + 2 + 4 + 446 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86845259047 + ... + 86845262297.

It is an arithmetic number, because the mean of its divisors is an integer number (1129110050250).

Almost surely, 2^{282333942444672} 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 282333942444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433578259296000).

282333942444672 is an abundant number, since it is smaller than the sum of its proper divisors (584822576147328).

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

282333942444672 is a wasteful number, since it uses less digits than its factorization.

282333942444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3827 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 63.

The spelling of 282333942444672 in words is "two hundred eighty-two trillion, three hundred thirty-three billion, nine hundred forty-two million, four hundred forty-four thousand, six hundred seventy-two".