6144930144 has 144 divisors (see below), whose sum is σ = 18449121600. Its totient is φ = 1934731008.

The previous prime is 6144930139. The next prime is 6144930167. The reversal of 6144930144 is 4410394416.

It is a happy number.

6144930144 is a `hidden beast` number, since 614 + 4 + 9 + 30 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6144930099 and 6144930108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2072407 + ... + 2075369.

It is an arithmetic number, because the mean of its divisors is an integer number (128118900).

Almost surely, 2^6144930144 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 6144930144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224560800).

6144930144 is an abundant number, since it is smaller than the sum of its proper divisors (12304191456).

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

6144930144 is a wasteful number, since it uses less digits than its factorization.

6144930144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6144930144 is about 78389.6048210475. The cubic root of 6144930144 is about 1831.6352095574.

The spelling of 6144930144 in words is "six billion, one hundred forty-four million, nine hundred thirty thousand, one hundred forty-four".