9667224134656 has 231 divisors, whose sum is σ = 21552695045697. Its totient is φ = 4333998366720.

The previous prime is 9667224134641. The next prime is 9667224134671. The reversal of 9667224134656 is 6564314227669.

The square root of 9667224134656 is 3109216.

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

It is an interprime number because it is at equal distance from previous prime (9667224134641) and next prime (9667224134671).

It can be written as a sum of positive squares in only one way, i.e., 5487587353600 + 4179636781056 = 2342560^2 + 2044416^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9667224134594 and 9667224134603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 132427727836 + ... + 132427727908.

Almost surely, 2^{9667224134656} is an apocalyptic number.

9667224134656 is the 3109216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9667224134656

9667224134656 is an abundant number, since it is smaller than the sum of its proper divisors (11885470911041).

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

9667224134656 is an frugal number, since it uses more digits than its factorization.

9667224134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 86 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 61.

The spelling of 9667224134656 in words is "nine trillion, six hundred sixty-seven billion, two hundred twenty-four million, one hundred thirty-four thousand, six hundred fifty-six".