14484208228200 has 192 divisors, whose sum is σ = 49967172432000. Its totient is φ = 3856484805120.

The previous prime is 14484208228157. The next prime is 14484208228247. The reversal of 14484208228200 is 282280248441.

14484208228200 is a `hidden beast` number, since 14 + 4 + 8 + 4 + 208 + 228 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420956 + ... + 5566644.

It is an arithmetic number, because the mean of its divisors is an integer number (260245689750).

Almost surely, 2^{14484208228200} is an apocalyptic number.

14484208228200 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 14484208228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24983586216000).

14484208228200 is an abundant number, since it is smaller than the sum of its proper divisors (35482964203800).

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

14484208228200 is a wasteful number, since it uses less digits than its factorization.

14484208228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146361 (or 4146346 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 14484208228200 in words is "fourteen trillion, four hundred eighty-four billion, two hundred eight million, two hundred twenty-eight thousand, two hundred".