6144323328 has 432 divisors, whose sum is σ = 22057098336. Its totient is φ = 1616117760.

The previous prime is 6144323327. The next prime is 6144323329. The reversal of 6144323328 is 8233234416.

6144323328 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 323 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (6144323327) and next prime (6144323329).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6144323292 and 6144323301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144323321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5600476 + ... + 5601572.

It is an arithmetic number, because the mean of its divisors is an integer number (51058098).

Almost surely, 2^6144323328 is an apocalyptic number.

6144323328 is a gapful number since it is divisible by the number (68) 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 6144323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028549168).

6144323328 is an abundant number, since it is smaller than the sum of its proper divisors (15912775008).

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

6144323328 is a wasteful number, since it uses less digits than its factorization.

6144323328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6144323328 is about 78385.7342122915. The cubic root of 6144323328 is about 1831.5749158348.

The spelling of 6144323328 in words is "six billion, one hundred forty-four million, three hundred twenty-three thousand, three hundred twenty-eight".