5528646144 has 640 divisors, whose sum is σ = 20532019200. Its totient is φ = 1433272320.

The previous prime is 5528646121. The next prime is 5528646161. The reversal of 5528646144 is 4416468255.

It is a happy number.

5528646144 is a `hidden beast` number, since 5 + 5 + 28 + 6 + 4 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5528646144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56996304 + ... + 56996400.

It is an arithmetic number, because the mean of its divisors is an integer number (32081280).

Almost surely, 2^5528646144 is an apocalyptic number.

5528646144 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 5528646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266009600).

5528646144 is an abundant number, since it is smaller than the sum of its proper divisors (15003373056).

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

5528646144 is a wasteful number, since it uses less digits than its factorization.

5528646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 5528646144 is about 74354.8663101481. The cubic root of 5528646144 is about 1768.2334342309.

The spelling of 5528646144 in words is "five billion, five hundred twenty-eight million, six hundred forty-six thousand, one hundred forty-four".