14344144121160 has 256 divisors, whose sum is σ = 54652718131200. Its totient is φ = 3278159942400.

The previous prime is 14344144121123. The next prime is 14344144121213. The reversal of 14344144121160 is 6112144144341.

14344144121160 is a `hidden beast` number, since 1 + 4 + 3 + 441 + 44 + 12 + 1 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50442175 + ... + 50725745.

It is an arithmetic number, because the mean of its divisors is an integer number (213487180200).

Almost surely, 2^{14344144121160} is an apocalyptic number.

14344144121160 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 14344144121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27326359065600).

14344144121160 is an abundant number, since it is smaller than the sum of its proper divisors (40308574010040).

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

14344144121160 is a wasteful number, since it uses less digits than its factorization.

14344144121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290289 (or 290279 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14344144121160 in words is "fourteen trillion, three hundred forty-four billion, one hundred forty-four million, one hundred twenty-one thousand, one hundred sixty".