9967413008641 has 27 divisors (see below), whose sum is σ = 11638981608163. Its totient is φ = 8527762675520.

The previous prime is 9967413008633. The next prime is 9967413008669. The reversal of 9967413008641 is 1468003147699.

The square root of 9967413008641 is 3157121.

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., 7760096633025 + 2207316375616 = 2785695^2 + 1485704^2 .

It is not a de Polignac number, because 9967413008641 - 2³ = 9967413008633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9967413008681) 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, 590373186 + ... + 590390068.

Almost surely, 2^{9967413008641} is an apocalyptic number.

9967413008641 is the 3157121-st square number.

9967413008641 is the 1578561-st centered octagonal number.

It is an amenable number.

9967413008641 is a deficient number, since it is larger than the sum of its proper divisors (1671568599522).

9967413008641 is an frugal number, since it uses more digits than its factorization.

9967413008641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33822 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 9967413008641 in words is "nine trillion, nine hundred sixty-seven billion, four hundred thirteen million, eight thousand, six hundred forty-one".