14148984200 has 108 divisors (see below), whose sum is σ = 35676674415. Its totient is φ = 5216165760.

The previous prime is 14148984193. The next prime is 14148984271. The reversal of 14148984200 is 248984141.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 885776644 + 13263207556 = 29762^2 + 115166^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=84110.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21868277 + ... + 21868923.

Almost surely, 2^14148984200 is an apocalyptic number.

14148984200 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 14148984200

14148984200 is an abundant number, since it is smaller than the sum of its proper divisors (21527690215).

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

14148984200 is an equidigital number, since it uses as much as digits as its factorization.

14148984200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 14148984200 in words is "fourteen billion, one hundred forty-eight million, nine hundred eighty-four thousand, two hundred".