281479271677952 has 66 divisors (see below), whose sum is σ = 562967133224958. Its totient is φ = 140737488355328.

The previous prime is 281479271677921. The next prime is 281479271678009. The reversal of 281479271677952 is 259776172974182.

It can be written as a sum of positive squares in only one way, i.e., 281474976710656 + 4294967296 = 16777216^2 + 65536^2 .

It is a Leyland number of the form 16⁸ + 8¹⁶.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 281479271677952 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4294934528 + ... + 4295000064.

It is an arithmetic number, because the mean of its divisors is an integer number (8529805048863).

Almost surely, 2^{281479271677952} 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 281479271677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281483566612479).

281479271677952 is an abundant number, since it is smaller than the sum of its proper divisors (281487861547006).

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

281479271677952 is an frugal number, since it uses more digits than its factorization.

281479271677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65601 (or 65539 counting only the distinct ones).

The product of its digits is 1493614080, while the sum is 77.

The spelling of 281479271677952 in words is "two hundred eighty-one trillion, four hundred seventy-nine billion, two hundred seventy-one million, six hundred seventy-seven thousand, nine hundred fifty-two".