14353468800 has 768 divisors, whose sum is σ = 55094688000. Its totient is φ = 3251404800.

The previous prime is 14353468799. The next prime is 14353468817. The reversal of 14353468800 is 886435341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131683146 + ... + 131683254.

It is an arithmetic number, because the mean of its divisors is an integer number (71737875).

Almost surely, 2^14353468800 is an apocalyptic number.

14353468800 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 14353468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27547344000).

14353468800 is an abundant number, since it is smaller than the sum of its proper divisors (40741219200).

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

14353468800 is a wasteful number, since it uses less digits than its factorization.

14353468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14353468800 in words is "fourteen billion, three hundred fifty-three million, four hundred sixty-eight thousand, eight hundred".