6144866375472 has 960 divisors, whose sum is σ = 20342757980160. Its totient is φ = 1773218304000.

The previous prime is 6144866375393. The next prime is 6144866375521. The reversal of 6144866375472 is 2745736684416.

6144866375472 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 86 + 6 + 3 + 7 + 547 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19632160788 + ... + 19632161100.

It is an arithmetic number, because the mean of its divisors is an integer number (21190372896).

Almost surely, 2^{6144866375472} 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 6144866375472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171378990080).

6144866375472 is an abundant number, since it is smaller than the sum of its proper divisors (14197891604688).

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

6144866375472 is a wasteful number, since it uses less digits than its factorization.

6144866375472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 568 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 6144866375472 in words is "six trillion, one hundred forty-four billion, eight hundred sixty-six million, three hundred seventy-five thousand, four hundred seventy-two".