71281968416 has 96 divisors (see below), whose sum is σ = 146278379520. Its totient is φ = 34155936000.

The previous prime is 71281968409. The next prime is 71281968427. The reversal of 71281968416 is 61486918217.

It is a super-2 number, since 2×71281968416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69952355 + ... + 69953373.

It is an arithmetic number, because the mean of its divisors is an integer number (1523733120).

Almost surely, 2^71281968416 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 71281968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73139189760).

71281968416 is an abundant number, since it is smaller than the sum of its proper divisors (74996411104).

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

71281968416 is a wasteful number, since it uses less digits than its factorization.

71281968416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1670 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 53.

The spelling of 71281968416 in words is "seventy-one billion, two hundred eighty-one million, nine hundred sixty-eight thousand, four hundred sixteen".