10688044689 has 63 divisors (see below), whose sum is σ = 18675160857. Its totient is φ = 6096288744.

The previous prime is 10688044681. The next prime is 10688044727. The reversal of 10688044689 is 98644088601.

The square root of 10688044689 is 103383.

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

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 10688044689 - 2³ = 10688044681 is a prime.

It is a super-2 number, since 2×10688044689² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10688044681) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 19539114 + ... + 19539660.

Almost surely, 2^10688044689 is an apocalyptic number.

10688044689 is the 103383-rd square number.

10688044689 is the 51692-nd centered octagonal number.

It is an amenable number.

10688044689 is a deficient number, since it is larger than the sum of its proper divisors (7987116168).

10688044689 is an frugal number, since it uses more digits than its factorization.

10688044689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10688044689 in words is "ten billion, six hundred eighty-eight million, forty-four thousand, six hundred eighty-nine".