9966188083329 has 9 divisors (see below), whose sum is σ = 14395618689283. Its totient is φ = 6644119075032.

The previous prime is 9966188083277. The next prime is 9966188083337. The reversal of 9966188083329 is 9233808816699.

The square root of 9966188083329 is 3156927.

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

9966188083329 is a `hidden beast` number, since 9 + 96 + 61 + 8 + 80 + 83 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4361510626929 + 5604677456400 = 2088423^2 + 2367420^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9966188083329 - 2³⁵ = 9931828344961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9966188083529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8944627 + ... + 9996935.

Almost surely, 2^{9966188083329} is an apocalyptic number.

9966188083329 is the 3156927-th square number.

9966188083329 is the 1578464-th centered octagonal number.

It is an amenable number.

9966188083329 is a deficient number, since it is larger than the sum of its proper divisors (4429430605954).

9966188083329 is an frugal number, since it uses more digits than its factorization.

9966188083329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104624 (or 1052312 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 9966188083329 in words is "nine trillion, nine hundred sixty-six billion, one hundred eighty-eight million, eighty-three thousand, three hundred twenty-nine".