4689749729889 has 27 divisors (see below), whose sum is σ = 7880132083473. Its totient is φ = 2679831001512.

The previous prime is 4689749729867. The next prime is 4689749729891. The reversal of 4689749729889 is 9889279479864.

The square root of 4689749729889 is 2165583.

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

4689749729889 is a `hidden beast` number, since 4 + 6 + 8 + 97 + 497 + 29 + 8 + 8 + 9 = 666.

It is not a de Polignac number, because 4689749729889 - 2¹⁵ = 4689749697121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4689749729799 and 4689749729808.

It is not an unprimeable number, because it can be changed into a prime (4689749729809) 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, 45425682 + ... + 45528804.

Almost surely, 2^{4689749729889} is an apocalyptic number.

4689749729889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4689749729889 is the 2165583-rd square number.

4689749729889 is the 1082792-nd centered octagonal number.

It is an amenable number.

4689749729889 is a deficient number, since it is larger than the sum of its proper divisors (3190382353584).

4689749729889 is an frugal number, since it uses more digits than its factorization.

4689749729889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206266 (or 103133 counting only the distinct ones).

The product of its digits is 31603654656, while the sum is 90.

The spelling of 4689749729889 in words is "four trillion, six hundred eighty-nine billion, seven hundred forty-nine million, seven hundred twenty-nine thousand, eight hundred eighty-nine".