4839414817689 has 9 divisors (see below), whose sum is σ = 6990275380543. Its totient is φ = 3226272145392.

The previous prime is 4839414817639. The next prime is 4839414817711. The reversal of 4839414817689 is 9867184149384.

The square root of 4839414817689 is 2199867.

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

4839414817689 is a `hidden beast` number, since 4 + 8 + 39 + 41 + 481 + 76 + 8 + 9 = 666.

4839414817689 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2850299488089 + 1989115329600 = 1688283^2 + 1410360^2 .

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

It is not a de Polignac number, because 4839414817689 - 2⁷ = 4839414817561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4839414817639) 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, 6232957 + ... + 6966245.

Almost surely, 2^{4839414817689} is an apocalyptic number.

4839414817689 is the 2199867-th square number.

4839414817689 is the 1099934-th centered octagonal number.

It is an amenable number.

4839414817689 is a deficient number, since it is larger than the sum of its proper divisors (2150860562854).

4839414817689 is an frugal number, since it uses more digits than its factorization.

4839414817689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466584 (or 733292 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 4839414817689 in words is "four trillion, eight hundred thirty-nine billion, four hundred fourteen million, eight hundred seventeen thousand, six hundred eighty-nine".