14148000681408 has 168 divisors, whose sum is σ = 44486448065280. Its totient is φ = 4263321346560.

The previous prime is 14148000681403. The next prime is 14148000681431. The reversal of 14148000681408 is 80418600084141.

14148000681408 is a `hidden beast` number, since 141 + 48 + 0 + 0 + 0 + 68 + 1 + 408 = 666.

It is a super-2 number, since 2×14148000681408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14148000681403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5103160 + ... + 7371447.

Almost surely, 2^{14148000681408} is an apocalyptic number.

14148000681408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14148000681408 is an abundant number, since it is smaller than the sum of its proper divisors (30338447383872).

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

14148000681408 is a wasteful number, since it uses less digits than its factorization.

14148000681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12474815 (or 12474802 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 14148000681408 in words is "fourteen trillion, one hundred forty-eight billion, six hundred eighty-one thousand, four hundred eight".