14734880563200 has 1344 divisors, whose sum is σ = 57290024632320. Its totient is φ = 3271966064640.

The previous prime is 14734880563199. The next prime is 14734880563219. The reversal of 14734880563200 is 236508843741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 28948684546 + ... + 28948685054.

Almost surely, 2^{14734880563200} is an apocalyptic number.

14734880563200 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 14734880563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645012316160).

14734880563200 is an abundant number, since it is smaller than the sum of its proper divisors (42555144069120).

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

14734880563200 is a wasteful number, since it uses less digits than its factorization.

14734880563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 14734880563200 in words is "fourteen trillion, seven hundred thirty-four billion, eight hundred eighty million, five hundred sixty-three thousand, two hundred".