14148461764752 has 320 divisors, whose sum is σ = 44115271680000. Its totient is φ = 3901135053312.

The previous prime is 14148461764751. The next prime is 14148461764793. The reversal of 14148461764752 is 25746716484141.

It is not an unprimeable number, because it can be changed into a prime (14148461764751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1195066449 + ... + 1195078287.

It is an arithmetic number, because the mean of its divisors is an integer number (137860224000).

Almost surely, 2^{14148461764752} is an apocalyptic number.

14148461764752 is a gapful number since it is divisible by the number (12) 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 14148461764752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057635840000).

14148461764752 is an abundant number, since it is smaller than the sum of its proper divisors (29966809915248).

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

14148461764752 is a wasteful number, since it uses less digits than its factorization.

14148461764752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14403 (or 14383 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 60.

The spelling of 14148461764752 in words is "fourteen trillion, one hundred forty-eight billion, four hundred sixty-one million, seven hundred sixty-four thousand, seven hundred fifty-two".