14388128768000 has 448 divisors, whose sum is σ = 40355220028032. Its totient is φ = 5081451724800.

The previous prime is 14388128767973. The next prime is 14388128768029. The reversal of 14388128768000 is 86782188341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306152504 + ... + 306199496.

It is an arithmetic number, because the mean of its divisors is an integer number (90078616134).

Almost surely, 2^{14388128768000} is an apocalyptic number.

14388128768000 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 14388128768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20177610014016).

14388128768000 is an abundant number, since it is smaller than the sum of its proper divisors (25967091260032).

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

14388128768000 is an equidigital number, since it uses as much as digits as its factorization.

14388128768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47070 (or 47036 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 56.

The spelling of 14388128768000 in words is "fourteen trillion, three hundred eighty-eight billion, one hundred twenty-eight million, seven hundred sixty-eight thousand".