1689342264009 has 9 divisors (see below), whose sum is σ = 2440166680263. Its totient is φ = 1126225576512.

The previous prime is 1689342263969. The next prime is 1689342264031. The reversal of 1689342264009 is 9004622439861.

The square root of 1689342264009 is 1299747.

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

1689342264009 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 3 + 4 + 226 + 400 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1664479281609 + 24862982400 = 1290147^2 + 157680^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-1689342264009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1689342264059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3682617 + ... + 4115865.

Almost surely, 2^{1689342264009} is an apocalyptic number.

1689342264009 is the 1299747-th square number.

1689342264009 is the 649874-th centered octagonal number.

It is an amenable number.

1689342264009 is a deficient number, since it is larger than the sum of its proper divisors (750824416254).

1689342264009 is an frugal number, since it uses more digits than its factorization.

1689342264009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866504 (or 433252 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1689342264009 in words is "one trillion, six hundred eighty-nine billion, three hundred forty-two million, two hundred sixty-four thousand, nine".