282289142016 has 1152 divisors, whose sum is σ = 1081272729600. Its totient is φ = 71591952384.

The previous prime is 282289141961. The next prime is 282289142021. The reversal of 282289142016 is 610241982282.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1265870481 + ... + 1265870703.

It is an arithmetic number, because the mean of its divisors is an integer number (938604800).

Almost surely, 2^282289142016 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 282289142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540636364800).

282289142016 is an abundant number, since it is smaller than the sum of its proper divisors (798983587584).

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

282289142016 is an equidigital number, since it uses as much as digits as its factorization.

282289142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 282289142016 in words is "two hundred eighty-two billion, two hundred eighty-nine million, one hundred forty-two thousand, sixteen".