14453148652800 has 864 divisors, whose sum is σ = 57404493127296. Its totient is φ = 3155361792000.

The previous prime is 14453148652777. The next prime is 14453148652837. The reversal of 14453148652800 is 825684135441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112505404 + ... + 112633796.

It is an arithmetic number, because the mean of its divisors is an integer number (66440385564).

Almost surely, 2^{14453148652800} is an apocalyptic number.

14453148652800 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 14453148652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28702246563648).

14453148652800 is an abundant number, since it is smaller than the sum of its proper divisors (42951344474496).

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

14453148652800 is a wasteful number, since it uses less digits than its factorization.

14453148652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128487 (or 128468 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 14453148652800 in words is "fourteen trillion, four hundred fifty-three billion, one hundred forty-eight million, six hundred fifty-two thousand, eight hundred".