5144148480 has 320 divisors, whose sum is σ = 17323498368. Its totient is φ = 1300561920.

The previous prime is 5144148413. The next prime is 5144148481. The reversal of 5144148480 is 848414415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (5144148481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12218670 + ... + 12219090.

Almost surely, 2^5144148480 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 5144148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661749184).

5144148480 is an abundant number, since it is smaller than the sum of its proper divisors (12179349888).

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

5144148480 is a wasteful number, since it uses less digits than its factorization.

5144148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 5144148480 is about 71722.7194130284. The cubic root of 5144148480 is about 1726.2532073705.

The spelling of 5144148480 in words is "five billion, one hundred forty-four million, one hundred forty-eight thousand, four hundred eighty".