66029983369 has 9 divisors (see below), whose sum is σ = 76812481287. Its totient is φ = 56595586824.

The previous prime is 66029983367. The next prime is 66029983421. The reversal of 66029983369 is 96338992066.

The square root of 66029983369 is 256963.

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., 29510773369 + 36519210000 = 171787^2 + 191100^2 .

It is not a de Polignac number, because 66029983369 - 2¹ = 66029983367 is a prime.

It is a super-2 number, since 2×66029983369² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66029983367) 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, 1780387 + ... + 1817095.

It is an arithmetic number, because the mean of its divisors is an integer number (8534720143).

Almost surely, 2^66029983369 is an apocalyptic number.

66029983369 is the 256963-rd square number.

66029983369 is the 128482-nd centered octagonal number.

It is an amenable number.

66029983369 is a deficient number, since it is larger than the sum of its proper divisors (10782497918).

66029983369 is an frugal number, since it uses more digits than its factorization.

66029983369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73432 (or 36716 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 61.

The spelling of 66029983369 in words is "sixty-six billion, twenty-nine million, nine hundred eighty-three thousand, three hundred sixty-nine".