14844141000 has 768 divisors, whose sum is σ = 58001448960. Its totient is φ = 3527193600.

The previous prime is 14844140977. The next prime is 14844141019. The reversal of 14844141000 is 14144841.

14844141000 is a `hidden beast` number, since 148 + 4 + 414 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 116882937 + ... + 116883063.

It is an arithmetic number, because the mean of its divisors is an integer number (75522720).

Almost surely, 2^14844141000 is an apocalyptic number.

14844141000 is a gapful number since it is divisible by the number (10) 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 14844141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29000724480).

14844141000 is an abundant number, since it is smaller than the sum of its proper divisors (43157307960).

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

14844141000 is a wasteful number, since it uses less digits than its factorization.

14844141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14844141000 its reverse (14144841), we get a palindrome (14858285841).

The spelling of 14844141000 in words is "fourteen billion, eight hundred forty-four million, one hundred forty-one thousand".