282709914816 has 224 divisors, whose sum is σ = 886276274688. Its totient is φ = 77853450240.

The previous prime is 282709914791. The next prime is 282709914827. The reversal of 282709914816 is 618419907282.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4542726 + ... + 4604538.

It is an arithmetic number, because the mean of its divisors is an integer number (3956590512).

Almost surely, 2^282709914816 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 282709914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443138137344).

282709914816 is an abundant number, since it is smaller than the sum of its proper divisors (603566359872).

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

282709914816 is a wasteful number, since it uses less digits than its factorization.

282709914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61959 (or 61949 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 282709914816 in words is "two hundred eighty-two billion, seven hundred nine million, nine hundred fourteen thousand, eight hundred sixteen".