14148608947200 has 2112 divisors, whose sum is σ = 67319246848000. Its totient is φ = 2827846287360.

The previous prime is 14148608947189. The next prime is 14148608947247. The reversal of 14148608947200 is 274980684141.

14148608947200 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 8 + 608 + 9 + 4 + 7 + 20 + 0 = 666.

14148608947200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1195078881 + ... + 1195090719.

Almost surely, 2^{14148608947200} is an apocalyptic number.

14148608947200 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 14148608947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33659623424000).

14148608947200 is an abundant number, since it is smaller than the sum of its proper divisors (53170637900800).

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

14148608947200 is a wasteful number, since it uses less digits than its factorization.

14148608947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11917 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 14148608947200 in words is "fourteen trillion, one hundred forty-eight billion, six hundred eight million, nine hundred forty-seven thousand, two hundred".