2006849056689 has 27 divisors (see below), whose sum is σ = 2917682152203. Its totient is φ = 1329232410432.

The previous prime is 2006849056679. The next prime is 2006849056703. The reversal of 2006849056689 is 9866509486002.

The square root of 2006849056689 is 1416633.

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

2006849056689 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 8 + 490 + 5 + 66 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227314400625 + 1779534656064 = 476775^2 + 1333992^2 .

It is not a de Polignac number, because 2006849056689 - 2¹³ = 2006849048497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2006849056679) 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, 692732089 + ... + 692734985.

Almost surely, 2^{2006849056689} is an apocalyptic number.

2006849056689 is the 1416633-rd square number.

2006849056689 is the 708317-th centered octagonal number.

It is an amenable number.

2006849056689 is a deficient number, since it is larger than the sum of its proper divisors (910833095514).

2006849056689 is an frugal number, since it uses more digits than its factorization.

2006849056689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2006849056689 in words is "two trillion, six billion, eight hundred forty-nine million, fifty-six thousand, six hundred eighty-nine".