5149648224 has 288 divisors, whose sum is σ = 17567746560. Its totient is φ = 1453427712.

The previous prime is 5149648193. The next prime is 5149648303. The reversal of 5149648224 is 4228469415.

It is a happy number.

5149648224 is a `hidden beast` number, since 5 + 149 + 6 + 482 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 5149648224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4843917 + ... + 4844979.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120).

Almost surely, 2^5149648224 is an apocalyptic number.

5149648224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5149648224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783873280).

5149648224 is an abundant number, since it is smaller than the sum of its proper divisors (12418098336).

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

5149648224 is a wasteful number, since it uses less digits than its factorization.

5149648224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1164 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 5149648224 is about 71761.0494906534. The cubic root of 5149648224 is about 1726.8681824472.

The spelling of 5149648224 in words is "five billion, one hundred forty-nine million, six hundred forty-eight thousand, two hundred twenty-four".