1966229341729 has 9 divisors (see below), whose sum is σ = 2031747036339. Its totient is φ = 1902760522080.

The previous prime is 1966229341709. The next prime is 1966229341763. The reversal of 1966229341729 is 9271439226691.

The square root of 1966229341729 is 1402223.

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., 1916300333025 + 49929008704 = 1384305^2 + 223448^2 .

It is not a de Polignac number, because 1966229341729 - 2³³ = 1957639407137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1966229341709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43446297 + ... + 43491529.

Almost surely, 2^{1966229341729} is an apocalyptic number.

1966229341729 is the 1402223-rd square number.

1966229341729 is the 701112-nd centered octagonal number.

It is an amenable number.

1966229341729 is a deficient number, since it is larger than the sum of its proper divisors (65517694610).

1966229341729 is an frugal number, since it uses more digits than its factorization.

1966229341729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90528 (or 45264 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 61.

The spelling of 1966229341729 in words is "one trillion, nine hundred sixty-six billion, two hundred twenty-nine million, three hundred forty-one thousand, seven hundred twenty-nine".