14628343468200 has 2304 divisors, whose sum is σ = 61665981696000. Its totient is φ = 2830438195200.

The previous prime is 14628343468187. The next prime is 14628343468217. The reversal of 14628343468200 is 286434382641.

It is a super-2 number, since 2×14628343468200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74255550502 + ... + 74255550698.

It is an arithmetic number, because the mean of its divisors is an integer number (26764749000).

Almost surely, 2^{14628343468200} is an apocalyptic number.

14628343468200 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 14628343468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30832990848000).

14628343468200 is an abundant number, since it is smaller than the sum of its proper divisors (47037638227800).

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

14628343468200 is a wasteful number, since it uses less digits than its factorization.

14628343468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 14628343468200 in words is "fourteen trillion, six hundred twenty-eight billion, three hundred forty-three million, four hundred sixty-eight thousand, two hundred".