5144265984 has 288 divisors, whose sum is σ = 16614678528. Its totient is φ = 1391616000.

The previous prime is 5144265871. The next prime is 5144266013. The reversal of 5144265984 is 4895624415.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3403789 + ... + 3405299.

It is an arithmetic number, because the mean of its divisors is an integer number (57689856).

Almost surely, 2^5144265984 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 5144265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307339264).

5144265984 is an abundant number, since it is smaller than the sum of its proper divisors (11470412544).

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

5144265984 is a wasteful number, since it uses less digits than its factorization.

5144265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1571 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 5144265984 is about 71723.5385630129. The cubic root of 5144265984 is about 1726.2663511145.

The spelling of 5144265984 in words is "five billion, one hundred forty-four million, two hundred sixty-five thousand, nine hundred eighty-four".