9759713394916 has 81 divisors (see below), whose sum is σ = 18003877996923. Its totient is φ = 4629098255040.

The previous prime is 9759713394913. The next prime is 9759713394917. The reversal of 9759713394916 is 6194933179579.

The square root of 9759713394916 is 3124054.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2928390252516 + 6831323142400 = 1711254^2 + 2613680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9759713394913) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 11052902611 + ... + 11052903493.

Almost surely, 2^{9759713394916} is an apocalyptic number.

9759713394916 is the 3124054-th square number.

It is an amenable number.

9759713394916 is a deficient number, since it is larger than the sum of its proper divisors (8244164602007).

9759713394916 is an frugal number, since it uses more digits than its factorization.

9759713394916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 975 counting only the distinct ones).

The product of its digits is 347208120, while the sum is 73.

The spelling of 9759713394916 in words is "nine trillion, seven hundred fifty-nine billion, seven hundred thirteen million, three hundred ninety-four thousand, nine hundred sixteen".