5188446144 has 336 divisors, whose sum is σ = 18363895200. Its totient is φ = 1430618112.

The previous prime is 5188446143. The next prime is 5188446169. The reversal of 5188446144 is 4416448815.

5188446144 is a `hidden beast` number, since 5 + 188 + 4 + 461 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 5188446144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188446143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2454432 + ... + 2456544.

It is an arithmetic number, because the mean of its divisors is an integer number (54654450).

Almost surely, 2^5188446144 is an apocalyptic number.

5188446144 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 5188446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9181947600).

5188446144 is an abundant number, since it is smaller than the sum of its proper divisors (13175449056).

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

5188446144 is a wasteful number, since it uses less digits than its factorization.

5188446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2154 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 5188446144 is about 72030.8693825085. The cubic root of 5188446144 is about 1731.1941307345.

The spelling of 5188446144 in words is "five billion, one hundred eighty-eight million, four hundred forty-six thousand, one hundred forty-four".