14126941983168 has 672 divisors, whose sum is σ = 49772498880000. Its totient is φ = 3818774937600.

The previous prime is 14126941983041. The next prime is 14126941983191. The reversal of 14126941983168 is 86138914962141.

14126941983168 is a `hidden beast` number, since 1 + 4 + 126 + 9 + 4 + 198 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3487270743 + ... + 3487274793.

Almost surely, 2^{14126941983168} is an apocalyptic number.

14126941983168 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 14126941983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886249440000).

14126941983168 is an abundant number, since it is smaller than the sum of its proper divisors (35645556896832).

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

14126941983168 is a wasteful number, since it uses less digits than its factorization.

14126941983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5011 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 14126941983168 in words is "fourteen trillion, one hundred twenty-six billion, nine hundred forty-one million, nine hundred eighty-three thousand, one hundred sixty-eight".