282879314496 has 315 divisors, whose sum is σ = 858411423001. Its totient is φ = 92110334976.

The previous prime is 282879314491. The next prime is 282879314569. The reversal of 282879314496 is 694413978282.

The square root of 282879314496 is 531864.

It is a perfect power (a square), and thus also a powerful number.

282879314496 is a `hidden beast` number, since 2 + 82 + 87 + 9 + 31 + 449 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54318828096 + 228560486400 = 233064^2 + 478080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282879314491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3178419220 + ... + 3178419308.

Almost surely, 2^282879314496 is an apocalyptic number.

282879314496 is the 531864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282879314496

282879314496 is an abundant number, since it is smaller than the sum of its proper divisors (575532108505).

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

282879314496 is an frugal number, since it uses more digits than its factorization.

282879314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 177 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 282879314496 in words is "two hundred eighty-two billion, eight hundred seventy-nine million, three hundred fourteen thousand, four hundred ninety-six".