5082144768 has 392 divisors, whose sum is σ = 16330836528. Its totient is φ = 1576599552.

The previous prime is 5082144763. The next prime is 5082144853. The reversal of 5082144768 is 8674412805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082144763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 137355246 + ... + 137355282.

Almost surely, 2^5082144768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165418264).

5082144768 is an abundant number, since it is smaller than the sum of its proper divisors (11248691760).

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

5082144768 is an frugal number, since it uses more digits than its factorization.

5082144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5082144768 is about 71289.1630474085. The cubic root of 5082144768 is about 1719.2894992262.

The spelling of 5082144768 in words is "five billion, eighty-two million, one hundred forty-four thousand, seven hundred sixty-eight".