6144165498240 has 2304 divisors, whose sum is σ = 28400124579840. Its totient is φ = 1233509990400.

The previous prime is 6144165498193. The next prime is 6144165498277. The reversal of 6144165498240 is 428945614416.

6144165498240 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 16 + 549 + 82 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10023108174 + ... + 10023108786.

It is an arithmetic number, because the mean of its divisors is an integer number (12326442960).

Almost surely, 2^{6144165498240} is an apocalyptic number.

6144165498240 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 6144165498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200062289920).

6144165498240 is an abundant number, since it is smaller than the sum of its proper divisors (22255959081600).

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

6144165498240 is an equidigital number, since it uses as much as digits as its factorization.

6144165498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6144165498240 in words is "six trillion, one hundred forty-four billion, one hundred sixty-five million, four hundred ninety-eight thousand, two hundred forty".