9121559716864 has 297 divisors, whose sum is σ = 21587450010633. Its totient is φ = 3841104347136.

The previous prime is 9121559716849. The next prime is 9121559716873. The reversal of 9121559716864 is 4686179551219.

The square root of 9121559716864 is 3020192.

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

It can be written as a sum of positive squares in only one way, i.e., 4095928345600 + 5025631371264 = 2023840^2 + 2241792^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9121559716796 and 9121559716805.

It is an unprimeable number.

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, 65622731707 + ... + 65622731845.

Almost surely, 2^{9121559716864} is an apocalyptic number.

9121559716864 is the 3020192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9121559716864

9121559716864 is an abundant number, since it is smaller than the sum of its proper divisors (12465890293769).

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

9121559716864 is an frugal number, since it uses more digits than its factorization.

9121559716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 245 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 64.

Multiplying 9121559716864 by its sum of digits (64), we get a square (583779821879296 = 24161536²).

9121559716864 divided by its sum of digits (64) gives a square (142524370576 = 377524²).

The spelling of 9121559716864 in words is "nine trillion, one hundred twenty-one billion, five hundred fifty-nine million, seven hundred sixteen thousand, eight hundred sixty-four".