9966453266961 has 81 divisors (see below), whose sum is σ = 15078635863473. Its totient is φ = 6343234672320.

The previous prime is 9966453266951. The next prime is 9966453267013. The reversal of 9966453266961 is 1696623546699.

It is a happy number.

The square root of 9966453266961 is 3156969.

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

9966453266961 is a `hidden beast` number, since 9 + 9 + 66 + 453 + 26 + 6 + 96 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1064250140625 + 8902203126336 = 1031625^2 + 2983656^2 .

It is not a de Polignac number, because 9966453266961 - 2¹¹ = 9966453264913 is a prime.

It is a super-3 number, since 3×9966453266961³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9966453266961.

It is not an unprimeable number, because it can be changed into a prime (9966453266921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35979975555 + ... + 35979975831.

Almost surely, 2^{9966453266961} is an apocalyptic number.

9966453266961 is the 3156969-th square number.

9966453266961 is the 1578485-th centered octagonal number.

It is an amenable number.

9966453266961 is a deficient number, since it is larger than the sum of its proper divisors (5112182596512).

9966453266961 is an equidigital number, since it uses as much as digits as its factorization.

9966453266961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its digits is 680244480, while the sum is 72.

The spelling of 9966453266961 in words is "nine trillion, nine hundred sixty-six billion, four hundred fifty-three million, two hundred sixty-six thousand, nine hundred sixty-one".