14444989920 has 288 divisors, whose sum is σ = 51593697792. Its totient is φ = 3673291776.

The previous prime is 14444989891. The next prime is 14444989931. The reversal of 14444989920 is 2998944441.

It is a happy number.

14444989920 is a `hidden beast` number, since 1 + 4 + 44 + 498 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19441069 + ... + 19441811.

It is an arithmetic number, because the mean of its divisors is an integer number (179144784).

Almost surely, 2^14444989920 is an apocalyptic number.

14444989920 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 14444989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25796848896).

14444989920 is an abundant number, since it is smaller than the sum of its proper divisors (37148707872).

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

14444989920 is a wasteful number, since it uses less digits than its factorization.

14444989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14444989920 in words is "fourteen billion, four hundred forty-four million, nine hundred eighty-nine thousand, nine hundred twenty".