14148641515024 has 135 divisors (see below), whose sum is σ = 29645952861519. Its totient is φ = 6540440558400.

The previous prime is 14148641514983. The next prime is 14148641515121. The reversal of 14148641515024 is 42051514684141.

The square root of 14148641515024 is 3761468.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12292476849 + ... + 12292477999.

Almost surely, 2^{14148641515024} is an apocalyptic number.

14148641515024 is the 3761468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14148641515024

14148641515024 is an abundant number, since it is smaller than the sum of its proper divisors (15497311346495).

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

14148641515024 is an frugal number, since it uses more digits than its factorization.

14148641515024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 14148641515024 in words is "fourteen trillion, one hundred forty-eight billion, six hundred forty-one million, five hundred fifteen thousand, twenty-four".