9122767833664 has 189 divisors, whose sum is σ = 19772976857193. Its totient is φ = 4175389900800.

The previous prime is 9122767833661. The next prime is 9122767833713. The reversal of 9122767833664 is 4663387672219.

The square root of 9122767833664 is 3020392.

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., 8234650073664 + 888117760000 = 2869608^2 + 942400^2 .

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 = 9122767833596 and 9122767833605.

It is not an unprimeable number, because it can be changed into a prime (9122767833661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14232086784 + ... + 14232087424.

Almost surely, 2^{9122767833664} is an apocalyptic number.

9122767833664 is the 3020392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9122767833664

9122767833664 is an abundant number, since it is smaller than the sum of its proper divisors (10650209023529).

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

9122767833664 is an frugal number, since it uses more digits than its factorization.

9122767833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 693 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 64.

Multiplying 9122767833664 by its sum of digits (64), we get a square (583857141354496 = 24163136²).

9122767833664 divided by its sum of digits (64) gives a square (142543247401 = 377549²).

The spelling of 9122767833664 in words is "nine trillion, one hundred twenty-two billion, seven hundred sixty-seven million, eight hundred thirty-three thousand, six hundred sixty-four".