14280930700344 has 960 divisors, whose sum is σ = 51473911104000. Its totient is φ = 3619589276160.

The previous prime is 14280930700279. The next prime is 14280930700357. The reversal of 14280930700344 is 44300703908241.

14280930700344 is a `hidden beast` number, since 142 + 80 + 93 + 0 + 7 + 0 + 0 + 344 = 666.

14280930700344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14280930700344³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14280930700344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5788782999 + ... + 5788785465.

It is an arithmetic number, because the mean of its divisors is an integer number (53618657400).

Almost surely, 2^{14280930700344} is an apocalyptic number.

14280930700344 is a gapful number since it is divisible by the number (14) 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 14280930700344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736955552000).

14280930700344 is an abundant number, since it is smaller than the sum of its proper divisors (37192980403656).

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

14280930700344 is a wasteful number, since it uses less digits than its factorization.

14280930700344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14280930700344 in words is "fourteen trillion, two hundred eighty billion, nine hundred thirty million, seven hundred thousand, three hundred forty-four".