9805064740416 has 567 divisors, whose sum is σ = 32072042874963. Its totient is φ = 2861761351680.

The previous prime is 9805064740403. The next prime is 9805064740433. The reversal of 9805064740416 is 6140474605089.

The square root of 9805064740416 is 3131304.

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

9805064740416 is a `hidden beast` number, since 9 + 80 + 50 + 6 + 474 + 0 + 41 + 6 = 666.

9805064740416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2353475082816 + 7451589657600 = 1534104^2 + 2729760^2 .

It is a super-2 number, since 2×9805064740416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23973263220 + ... + 23973263628.

Almost surely, 2^{9805064740416} is an apocalyptic number.

9805064740416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9805064740416 is the 3131304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9805064740416

9805064740416 is an abundant number, since it is smaller than the sum of its proper divisors (22266978134547).

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

9805064740416 is a wasteful number, since it uses less digits than its factorization.

9805064740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 9805064740416 in words is "nine trillion, eight hundred five billion, sixty-four million, seven hundred forty thousand, four hundred sixteen".