9966654730801 has 4 divisors (see below), whose sum is σ = 9966661427812. Its totient is φ = 9966648033792.

The previous prime is 9966654730783. The next prime is 9966654730847. The reversal of 9966654730801 is 1080374566699.

9966654730801 is a nontrivial binomial coefficient, being equal to C(4464674, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 7758458730801 + 2208196000000 = 2785401^2 + 1486000^2 .

It is a 3-Lehmer number, since φ(9966654730801) divides (9966654730801-1)³.

It is a cyclic number.

It is not a de Polignac number, because 9966654730801 - 2¹⁷ = 9966654599729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9966654730001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 4464673.

It is an arithmetic number, because the mean of its divisors is an integer number (2491665356953).

It is a Poulet number, since it divides 2^{9966654730800}-1.

Almost surely, 2^{9966654730801} is an apocalyptic number.

9966654730801 is the 4464673-rd triangular number and also the 2232337-th hexagonal number.

9966654730801 is the 1488225-th centered nonagonal number.

It is an amenable number.

9966654730801 is a deficient number, since it is larger than the sum of its proper divisors (6697011).

9966654730801 is a wasteful number, since it uses less digits than its factorization.

9966654730801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697010.

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 9966654730801 in words is "nine trillion, nine hundred sixty-six billion, six hundred fifty-four million, seven hundred thirty thousand, eight hundred one".