10968502768129 has 9 divisors (see below), whose sum is σ = 11151467412969. Its totient is φ = 10788492534960.

The previous prime is 10968502768127. The next prime is 10968502768159. The reversal of 10968502768129 is 92186720586901.

It is a happy number.

The square root of 10968502768129 is 3311873.

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 292913676225 + 10675589091904 = 541215^2 + 3267352^2 .

It is not a de Polignac number, because 10968502768129 - 2¹ = 10968502768127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10968502768127) 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, 201997107 + ... + 202051399.

Almost surely, 2^{10968502768129} is an apocalyptic number.

10968502768129 is the 3311873-rd square number.

10968502768129 is the 1655937-th centered octagonal number.

It is an amenable number.

10968502768129 is a deficient number, since it is larger than the sum of its proper divisors (182964644840).

10968502768129 is an frugal number, since it uses more digits than its factorization.

10968502768129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108708 (or 54354 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 64.

Multiplying 10968502768129 by its sum of digits (64), we get a square (701984177160256 = 26494984²).

The spelling of 10968502768129 in words is "ten trillion, nine hundred sixty-eight billion, five hundred two million, seven hundred sixty-eight thousand, one hundred twenty-nine".