839867772249 has 45 divisors (see below), whose sum is σ = 1379191133551. Its totient is φ = 508955784480.

The previous prime is 839867772203. The next prime is 839867772257. The reversal of 839867772249 is 942277768938.

The square root of 839867772249 is 916443.

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

839867772249 is a `hidden beast` number, since 8 + 398 + 6 + 7 + 7 + 7 + 224 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51622112025 + 788245660224 = 227205^2 + 887832^2 .

It is a de Polignac number, because none of the positive numbers 2^k-839867772249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (839867772269) 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 44 ways as a sum of consecutive naturals, for example, 90723229 + ... + 90732485.

Almost surely, 2^839867772249 is an apocalyptic number.

839867772249 is the 916443-rd square number.

839867772249 is the 458222-nd centered octagonal number.

It is an amenable number.

839867772249 is a deficient number, since it is larger than the sum of its proper divisors (539323361302).

839867772249 is an frugal number, since it uses more digits than its factorization.

839867772249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18548 (or 9271 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 839867772249 in words is "eight hundred thirty-nine billion, eight hundred sixty-seven million, seven hundred seventy-two thousand, two hundred forty-nine".