802271324416 has 243 divisors, whose sum is σ = 1768235497329. Its totient is φ = 363208310784.

The previous prime is 802271324411. The next prime is 802271324417. The reversal of 802271324416 is 614423172208.

The square root of 802271324416 is 895696.

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

It can be written as a sum of positive squares in 13 ways, for example, as 103107778816 + 699163545600 = 321104^2 + 836160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (802271324411) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9014284500 + ... + 9014284588.

Almost surely, 2^802271324416 is an apocalyptic number.

802271324416 is the 895696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802271324416

802271324416 is an abundant number, since it is smaller than the sum of its proper divisors (965964172913).

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

802271324416 is an frugal number, since it uses more digits than its factorization.

802271324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 802271324416 in words is "eight hundred two billion, two hundred seventy-one million, three hundred twenty-four thousand, four hundred sixteen".