5144737824 has 72 divisors (see below), whose sum is σ = 14662737180. Its totient is φ = 1711116288.

The previous prime is 5144737823. The next prime is 5144737849. The reversal of 5144737824 is 4287374415.

5144737824 is a `hidden beast` number, since 514 + 47 + 3 + 78 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5079127824 + 65610000 = 71268^2 + 8100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5144737824.

It is not an unprimeable number, because it can be changed into a prime (5144737823) 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 11 ways as a sum of consecutive naturals, for example, 112072 + ... + 151160.

Almost surely, 2^5144737824 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 5144737824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331368590).

5144737824 is an abundant number, since it is smaller than the sum of its proper divisors (9517999356).

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

5144737824 is a wasteful number, since it uses less digits than its factorization.

5144737824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39562 (or 39551 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 5144737824 is about 71726.8277843095. The cubic root of 5144737824 is about 1726.3191281039.

The spelling of 5144737824 in words is "five billion, one hundred forty-four million, seven hundred thirty-seven thousand, eight hundred twenty-four".