6144221916960 has 192 divisors, whose sum is σ = 19721103187968. Its totient is φ = 1607639629824.

The previous prime is 6144221916953. The next prime is 6144221917037. The reversal of 6144221916960 is 696191224416.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 6308449 + ... + 7216991.

It is an arithmetic number, because the mean of its divisors is an integer number (102714079104).

Almost surely, 2^{6144221916960} is an apocalyptic number.

6144221916960 is a gapful number since it is divisible by the number (60) 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 6144221916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9860551593984).

6144221916960 is an abundant number, since it is smaller than the sum of its proper divisors (13576881271008).

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

6144221916960 is a wasteful number, since it uses less digits than its factorization.

6144221916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908827 (or 908819 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 6144221916960 in words is "six trillion, one hundred forty-four billion, two hundred twenty-one million, nine hundred sixteen thousand, nine hundred sixty".