10969072417681 has 45 divisors (see below), whose sum is σ = 12895506900731. Its totient is φ = 9329867990016.

The previous prime is 10969072417669. The next prime is 10969072417687. The reversal of 10969072417681 is 18671427096901.

The square root of 10969072417681 is 3311959.

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., 10799011854225 + 170060563456 = 3286185^2 + 412384^2 .

It is not a de Polignac number, because 10969072417681 - 2⁷ = 10969072417553 is a prime.

It is a super-2 number, since 2×10969072417681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10969072417687) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41707499556 + ... + 41707499818.

Almost surely, 2^{10969072417681} is an apocalyptic number.

10969072417681 is the 3311959-th square number.

10969072417681 is the 1655980-th centered octagonal number.

It is an amenable number.

10969072417681 is a deficient number, since it is larger than the sum of its proper divisors (1926434483050).

10969072417681 is an frugal number, since it uses more digits than its factorization.

10969072417681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 61.

The spelling of 10969072417681 in words is "ten trillion, nine hundred sixty-nine billion, seventy-two million, four hundred seventeen thousand, six hundred eighty-one".