10689414464089 has 9 divisors (see below), whose sum is σ = 10713883352671. Its totient is φ = 10665001354000.

The previous prime is 10689414464077. The next prime is 10689414464101. The reversal of 10689414464089 is 98046441498601.

The square root of 10689414464089 is 3269467.

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

It is an interprime number because it is at equal distance from previous prime (10689414464077) and next prime (10689414464101).

It can be written as a sum of positive squares in only one way, i.e., 4516972350489 + 6172442113600 = 2125317^2 + 2484440^2 .

It is not a de Polignac number, because 10689414464089 - 2⁹ = 10689414463577 is a prime.

It is a super-2 number, since 2×10689414464089² (a number of 27 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 10689414464089.

It is not an unprimeable number, because it can be changed into a prime (10689411464089) 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, 1526837589 + ... + 1526844589.

Almost surely, 2^{10689414464089} is an apocalyptic number.

10689414464089 is the 3269467-th square number.

10689414464089 is the 1634734-th centered octagonal number.

It is an amenable number.

10689414464089 is a deficient number, since it is larger than the sum of its proper divisors (24468888582).

10689414464089 is an frugal number, since it uses more digits than its factorization.

10689414464089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14936 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 64.

Multiplying 10689414464089 by its sum of digits (64), we get a square (684122525701696 = 26155736²).

The spelling of 10689414464089 in words is "ten trillion, six hundred eighty-nine billion, four hundred fourteen million, four hundred sixty-four thousand, eighty-nine".