14242947788992 has 168 divisors, whose sum is σ = 32413176297216. Its totient is φ = 6185414836224.

The previous prime is 14242947788989. The next prime is 14242947789017. The reversal of 14242947788992 is 29988774924241.

14242947788992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007059873 + ... + 1007074015.

Almost surely, 2^{14242947788992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14242947788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206588148608).

14242947788992 is an abundant number, since it is smaller than the sum of its proper divisors (18170228508224).

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

14242947788992 is a wasteful number, since it uses less digits than its factorization.

14242947788992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19675 (or 19652 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 76.

The spelling of 14242947788992 in words is "fourteen trillion, two hundred forty-two billion, nine hundred forty-seven million, seven hundred eighty-eight thousand, nine hundred ninety-two".