968667355681 has 9 divisors (see below), whose sum is σ = 971336966169. Its totient is φ = 966005070336.

The previous prime is 968667355673. The next prime is 968667355727. The reversal of 968667355681 is 186553766869.

The square root of 968667355681 is 984209.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17715681 + 968649640000 = 4209^2 + 984200^2 .

It is not a de Polignac number, because 968667355681 - 2³ = 968667355673 is a prime.

It is a super-2 number, since 2×968667355681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 968667355681.

It is not an unprimeable number, because it can be changed into a prime (968667355631) 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, 426161361 + ... + 426163633.

Almost surely, 2^968667355681 is an apocalyptic number.

968667355681 is the 984209-th square number.

968667355681 is the 492105-th centered octagonal number.

It is an amenable number.

968667355681 is a deficient number, since it is larger than the sum of its proper divisors (2669610488).

968667355681 is an frugal number, since it uses more digits than its factorization.

968667355681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 2706 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 70.

It can be divided in two parts, 96866 and 7355681, that added together give a palindrome (7452547).

The spelling of 968667355681 in words is "nine hundred sixty-eight billion, six hundred sixty-seven million, three hundred fifty-five thousand, six hundred eighty-one".