14444802852480 has 2048 divisors, whose sum is σ = 72730557849600. Its totient is φ = 2607600107520.

The previous prime is 14444802852461. The next prime is 14444802852503. The reversal of 14444802852480 is 8425820844441.

14444802852480 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 80 + 2 + 85 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 294029199 + ... + 294078321.

It is an arithmetic number, because the mean of its divisors is an integer number (35512967700).

Almost surely, 2^{14444802852480} is an apocalyptic number.

14444802852480 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 14444802852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36365278924800).

14444802852480 is an abundant number, since it is smaller than the sum of its proper divisors (58285754997120).

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

14444802852480 is a wasteful number, since it uses less digits than its factorization.

14444802852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49199 (or 49181 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 54.

The spelling of 14444802852480 in words is "fourteen trillion, four hundred forty-four billion, eight hundred two million, eight hundred fifty-two thousand, four hundred eighty".