14345324640000 has 720 divisors, whose sum is σ = 53139445559200. Its totient is φ = 3816087552000.

The previous prime is 14345324639993. The next prime is 14345324640001. The reversal of 14345324640000 is 4642354341.

14345324640000 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 5 + 3 + 2 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×14345324640000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14345324640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1870556166 + ... + 1870563834.

Almost surely, 2^{14345324640000} is an apocalyptic number.

14345324640000 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 14345324640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569722779600).

14345324640000 is an abundant number, since it is smaller than the sum of its proper divisors (38794120919200).

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

14345324640000 is an frugal number, since it uses more digits than its factorization.

14345324640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 14345324640000 its reverse (4642354341), we get a palindrome (14349966994341).

The spelling of 14345324640000 in words is "fourteen trillion, three hundred forty-five billion, three hundred twenty-four million, six hundred forty thousand".