2114688914809 has 27 divisors (see below), whose sum is σ = 2269453163367. Its totient is φ = 1970076294144.

The previous prime is 2114688914749. The next prime is 2114688914881. The reversal of 2114688914809 is 9084198864112.

The square root of 2114688914809 is 1454197.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1541682306025 + 573006608784 = 1241645^2 + 756972^2 .

It is not a de Polignac number, because 2114688914809 - 2¹⁷ = 2114688783737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2114688914309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2793512059 + ... + 2793512815.

Almost surely, 2^{2114688914809} is an apocalyptic number.

2114688914809 is the 1454197-th square number.

2114688914809 is the 727099-th centered octagonal number.

It is an amenable number.

2114688914809 is a deficient number, since it is larger than the sum of its proper divisors (154764248558).

2114688914809 is an frugal number, since it uses more digits than its factorization.

2114688914809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 61.

The spelling of 2114688914809 in words is "two trillion, one hundred fourteen billion, six hundred eighty-eight million, nine hundred fourteen thousand, eight hundred nine".