282193340016 has 160 divisors (see below), whose sum is σ = 845131622400. Its totient is φ = 79467927552.

The previous prime is 282193339991. The next prime is 282193340059. The reversal of 282193340016 is 610043391282.

It is a super-2 number, since 2×282193340016² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47802121 + ... + 47808023.

It is an arithmetic number, because the mean of its divisors is an integer number (5282072640).

Almost surely, 2^282193340016 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 282193340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422565811200).

282193340016 is an abundant number, since it is smaller than the sum of its proper divisors (562938282384).

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

282193340016 is a wasteful number, since it uses less digits than its factorization.

282193340016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7943 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 282193340016 in words is "two hundred eighty-two billion, one hundred ninety-three million, three hundred forty thousand, sixteen".