9261334656 has 192 divisors, whose sum is σ = 30541492800. Its totient is φ = 2638817280.

The previous prime is 9261334619. The next prime is 9261334751. The reversal of 9261334656 is 6564331629.

9261334656 is a `hidden beast` number, since 9 + 261 + 334 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9261334656² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3377446 + ... + 3380186.

It is an arithmetic number, because the mean of its divisors is an integer number (159070275).

Almost surely, 2^9261334656 is an apocalyptic number.

9261334656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9261334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270746400).

9261334656 is an abundant number, since it is smaller than the sum of its proper divisors (21280158144).

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

9261334656 is a wasteful number, since it uses less digits than its factorization.

9261334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3172 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 9261334656 is about 96235.8283385143. The cubic root of 9261334656 is about 2100.0252949334.

The spelling of 9261334656 in words is "nine billion, two hundred sixty-one million, three hundred thirty-four thousand, six hundred fifty-six".