14244149069568 has 216 divisors, whose sum is σ = 44889010364016. Its totient is φ = 4308119961600.

The previous prime is 14244149069531. The next prime is 14244149069609. The reversal of 14244149069568 is 86596094144241.

14244149069568 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 4 + 1 + 4 + 9 + 0 + 69 + 568 = 666.

It is a super-3 number, since 3×14244149069568³ (a number of 40 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 12664846 + ... + 13743602.

It is an arithmetic number, because the mean of its divisors is an integer number (207819492426).

Almost surely, 2^{14244149069568} is an apocalyptic number.

14244149069568 is a gapful number since it is divisible by the number (18) 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 14244149069568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444505182008).

14244149069568 is an abundant number, since it is smaller than the sum of its proper divisors (30644861294448).

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

14244149069568 is a wasteful number, since it uses less digits than its factorization.

14244149069568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079311 (or 1079294 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 14244149069568 in words is "fourteen trillion, two hundred forty-four billion, one hundred forty-nine million, sixty-nine thousand, five hundred sixty-eight".