14441971820448 has 288 divisors, whose sum is σ = 40777569189504. Its totient is φ = 4474211401728.

The previous prime is 14441971820447. The next prime is 14441971820449. The reversal of 14441971820448 is 84402817914441.

It is an interprime number because it is at equal distance from previous prime (14441971820447) and next prime (14441971820449).

It is a super-2 number, since 2×14441971820448² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14441971820447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733569261 + ... + 733588947.

It is an arithmetic number, because the mean of its divisors is an integer number (141588781908).

Almost surely, 2^{14441971820448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441971820448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20388784594752).

14441971820448 is an abundant number, since it is smaller than the sum of its proper divisors (26335597369056).

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

14441971820448 is a wasteful number, since it uses less digits than its factorization.

14441971820448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20064 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 14441971820448 in words is "fourteen trillion, four hundred forty-one billion, nine hundred seventy-one million, eight hundred twenty thousand, four hundred forty-eight".