9719828816896 has 297 divisors, whose sum is σ = 22730955004891. Its totient is φ = 4150234316800.

The previous prime is 9719828816857. The next prime is 9719828816899. The reversal of 9719828816896 is 6986188289179.

The square root of 9719828816896 is 3117664.

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 54793446400 + 9665035370496 = 234080^2 + 3108864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9719828816899) 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, 18656101116 + ... + 18656101636.

Almost surely, 2^{9719828816896} is an apocalyptic number.

9719828816896 is the 3117664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9719828816896

9719828816896 is an abundant number, since it is smaller than the sum of its proper divisors (13011126187995).

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

9719828816896 is an equidigital number, since it uses as much as digits as its factorization.

9719828816896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 551 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 82.

The spelling of 9719828816896 in words is "nine trillion, seven hundred nineteen billion, eight hundred twenty-eight million, eight hundred sixteen thousand, eight hundred ninety-six".