6144622848 has 288 divisors, whose sum is σ = 22366265600. Its totient is φ = 1620393984.

The previous prime is 6144622831. The next prime is 6144622853. The reversal of 6144622848 is 8482264416.

6144622848 is a `hidden beast` number, since 6 + 14 + 4 + 622 + 8 + 4 + 8 = 666.

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

It is a super-2 number, since 2×6144622848² = 75512779888327262208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624108 + ... + 633876.

Almost surely, 2^6144622848 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 6144622848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183132800).

6144622848 is an abundant number, since it is smaller than the sum of its proper divisors (16221642752).

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

6144622848 is a wasteful number, since it uses less digits than its factorization.

6144622848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9814 (or 9794 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 6144622848 is about 78387.6447407370. The cubic root of 6144622848 is about 1831.6046768774.

The spelling of 6144622848 in words is "six billion, one hundred forty-four million, six hundred twenty-two thousand, eight hundred forty-eight".