10685563641 has 9 divisors (see below), whose sum is σ = 15435150991. Its totient is φ = 7123502352.

The previous prime is 10685563627. The next prime is 10685563643. The reversal of 10685563641 is 14636558601.

The square root of 10685563641 is 103371.

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

10685563641 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 5 + 636 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6803775225 + 3881788416 = 82485^2 + 62304^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10685563641 - 2¹⁵ = 10685530873 is a prime.

It is a super-2 number, since 2×10685563641² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10685563643) 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, 292885 + ... + 327341.

Almost surely, 2^10685563641 is an apocalyptic number.

10685563641 is the 103371-st square number.

10685563641 is the 51686-th centered octagonal number.

It is an amenable number.

10685563641 is a deficient number, since it is larger than the sum of its proper divisors (4749587350).

10685563641 is an frugal number, since it uses more digits than its factorization.

10685563641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68920 (or 34460 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10685563641 in words is "ten billion, six hundred eighty-five million, five hundred sixty-three thousand, six hundred forty-one".