10839308544 has 189 divisors, whose sum is σ = 32574736929. Its totient is φ = 3598110720.

The previous prime is 10839308533. The next prime is 10839308561. The reversal of 10839308544 is 44580393801.

The square root of 10839308544 is 104112.

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

10839308544 is a `hidden beast` number, since 10 + 8 + 3 + 93 + 0 + 8 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8151922944 + 2687385600 = 90288^2 + 51840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10839308544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 44976264 + ... + 44976504.

Almost surely, 2^10839308544 is an apocalyptic number.

10839308544 is the 104112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10839308544

10839308544 is an abundant number, since it is smaller than the sum of its proper divisors (21735428385).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10839308544 is an frugal number, since it uses more digits than its factorization.

10839308544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10839308544 in words is "ten billion, eight hundred thirty-nine million, three hundred eight thousand, five hundred forty-four".