14450919600 has 180 divisors, whose sum is σ = 50126582616. Its totient is φ = 3557099520.

The previous prime is 14450919599. The next prime is 14450919601. The reversal of 14450919600 is 691905441.

14450919600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14450919599) and next prime (14450919601).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14450919601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167172 + ... + 238428.

Almost surely, 2^14450919600 is an apocalyptic number.

14450919600 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 14450919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25063291308).

14450919600 is an abundant number, since it is smaller than the sum of its proper divisors (35675663016).

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

14450919600 is a wasteful number, since it uses less digits than its factorization.

14450919600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71304 (or 71280 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 14450919600 in words is "fourteen billion, four hundred fifty million, nine hundred nineteen thousand, six hundred".