966369607681 has 27 divisors (see below), whose sum is σ = 1054501465923. Its totient is φ = 885444689520.

The previous prime is 966369607669. The next prime is 966369607699. The reversal of 966369607681 is 186706963669.

The square root of 966369607681 is 983041.

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., 515511076081 + 450858531600 = 717991^2 + 671460^2 .

It is not a de Polignac number, because 966369607681 - 2⁵ = 966369607649 is a prime.

It is a super-2 number, since 2×966369607681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966369607601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 579010315 + ... + 579011983.

It is an arithmetic number, because the mean of its divisors is an integer number (39055609849).

Almost surely, 2^966369607681 is an apocalyptic number.

966369607681 is the 983041-st square number.

966369607681 is the 491521-st centered octagonal number.

It is an amenable number.

966369607681 is a deficient number, since it is larger than the sum of its proper divisors (88131858242).

966369607681 is an frugal number, since it uses more digits than its factorization.

966369607681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 67.

The spelling of 966369607681 in words is "nine hundred sixty-six billion, three hundred sixty-nine million, six hundred seven thousand, six hundred eighty-one".