6144067325952 has 312 divisors, whose sum is σ = 19397556622080. Its totient is φ = 1865365585920.

The previous prime is 6144067325947. The next prime is 6144067325971. The reversal of 6144067325952 is 2595237604416.

It is a happy number.

6144067325952 is a `hidden beast` number, since 6 + 1 + 4 + 40 + 6 + 7 + 3 + 2 + 595 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19269199 + ... + 19585457.

It is an arithmetic number, because the mean of its divisors is an integer number (62171655840).

Almost surely, 2^{6144067325952} is an apocalyptic number.

6144067325952 is a gapful number since it is divisible by the number (62) 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 6144067325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698778311040).

6144067325952 is an abundant number, since it is smaller than the sum of its proper divisors (13253489296128).

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

6144067325952 is a wasteful number, since it uses less digits than its factorization.

6144067325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316337 (or 316312 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6144067325952 in words is "six trillion, one hundred forty-four billion, sixty-seven million, three hundred twenty-five thousand, nine hundred fifty-two".