14148067348008 has 192 divisors, whose sum is σ = 42113637633600. Its totient is φ = 4255249904640.

The previous prime is 14148067348007. The next prime is 14148067348049. The reversal of 14148067348008 is 80084376084141.

14148067348008 is a `hidden beast` number, since 1 + 4 + 14 + 80 + 6 + 73 + 480 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14148067348007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121165523 + ... + 1121178141.

It is an arithmetic number, because the mean of its divisors is an integer number (219341862675).

Almost surely, 2^{14148067348008} is an apocalyptic number.

14148067348008 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 14148067348008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056818816800).

14148067348008 is an abundant number, since it is smaller than the sum of its proper divisors (27965570285592).

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

14148067348008 is a wasteful number, since it uses less digits than its factorization.

14148067348008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23112 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14148067348008 in words is "fourteen trillion, one hundred forty-eight billion, sixty-seven million, three hundred forty-eight thousand, eight".