14327408745000 has 960 divisors, whose sum is σ = 54601631884800. Its totient is φ = 3366443520000.

The previous prime is 14327408744981. The next prime is 14327408745007. The reversal of 14327408745000 is 54780472341.

14327408745000 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 74 + 0 + 8 + 74 + 500 + 0 = 666.

14327408745000 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 (45).

It is not an unprimeable number, because it can be changed into a prime (14327408745007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9674144260 + ... + 9674145740.

It is an arithmetic number, because the mean of its divisors is an integer number (56876699880).

Almost surely, 2^{14327408745000} is an apocalyptic number.

14327408745000 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 14327408745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27300815942400).

14327408745000 is an abundant number, since it is smaller than the sum of its proper divisors (40274223139800).

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

14327408745000 is a wasteful number, since it uses less digits than its factorization.

14327408745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 14327408745000 in words is "fourteen trillion, three hundred twenty-seven billion, four hundred eight million, seven hundred forty-five thousand".