14148006749568 has 256 divisors, whose sum is σ = 41863266931200. Its totient is φ = 4703932569600.

The previous prime is 14148006749519. The next prime is 14148006749573. The reversal of 14148006749568 is 86594760084141.

14148006749568 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 8 + 0 + 0 + 67 + 4 + 9 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3518527398 + ... + 3518531418.

It is an arithmetic number, because the mean of its divisors is an integer number (163528386450).

Almost surely, 2^{14148006749568} is an apocalyptic number.

14148006749568 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 14148006749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20931633465600).

14148006749568 is an abundant number, since it is smaller than the sum of its proper divisors (27715260181632).

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

14148006749568 is a wasteful number, since it uses less digits than its factorization.

14148006749568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 14148006749568 in words is "fourteen trillion, one hundred forty-eight billion, six million, seven hundred forty-nine thousand, five hundred sixty-eight".