14148468097920 has 1024 divisors, whose sum is σ = 57019697280000. Its totient is φ = 3286867673088.

The previous prime is 14148468097891. The next prime is 14148468097957. The reversal of 14148468097920 is 2979086484141.

14148468097920 is a `hidden beast` number, since 1 + 4 + 1 + 484 + 6 + 80 + 9 + 79 + 2 + 0 = 666.

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 1148128879 + ... + 1148141201.

It is an arithmetic number, because the mean of its divisors is an integer number (55683298125).

Almost surely, 2^{14148468097920} is an apocalyptic number.

14148468097920 is a gapful number since it is divisible by the number (10) 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 14148468097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28509848640000).

14148468097920 is an abundant number, since it is smaller than the sum of its proper divisors (42871229182080).

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

14148468097920 is a wasteful number, since it uses less digits than its factorization.

14148468097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12634 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 14148468097920 in words is "fourteen trillion, one hundred forty-eight billion, four hundred sixty-eight million, ninety-seven thousand, nine hundred twenty".