14055115200 has 336 divisors, whose sum is σ = 52864902144. Its totient is φ = 3202560000.

The previous prime is 14055115163. The next prime is 14055115201. The reversal of 14055115200 is 251155041.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055115201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18714825 + ... + 18715575.

Almost surely, 2^14055115200 is an apocalyptic number.

14055115200 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 14055115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26432451072).

14055115200 is an abundant number, since it is smaller than the sum of its proper divisors (38809786944).

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

14055115200 is a wasteful number, since it uses less digits than its factorization.

14055115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 14055115200 in words is "fourteen billion, fifty-five million, one hundred fifteen thousand, two hundred".