14241294144 has 336 divisors, whose sum is σ = 51939139200. Its totient is φ = 3698472960.

The previous prime is 14241294127. The next prime is 14241294157. The reversal of 14241294144 is 44149214241.

14241294144 is a `hidden beast` number, since 1 + 424 + 1 + 2 + 94 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14241294099 and 14241294108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2169972 + ... + 2176524.

Almost surely, 2^14241294144 is an apocalyptic number.

14241294144 is a gapful number since it is divisible by the number (14) 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 14241294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25969569600).

14241294144 is an abundant number, since it is smaller than the sum of its proper divisors (37697845056).

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

14241294144 is a wasteful number, since it uses less digits than its factorization.

14241294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6576 counting only the distinct ones).

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

The spelling of 14241294144 in words is "fourteen billion, two hundred forty-one million, two hundred ninety-four thousand, one hundred forty-four".