14469811472480 has 384 divisors, whose sum is σ = 42554931648768. Its totient is φ = 4527293202432.

The previous prime is 14469811472443. The next prime is 14469811472483. The reversal of 14469811472480 is 8427411896441.

It is a happy number.

It is a super-2 number, since 2×14469811472480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14469811472483) 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 63 ways as a sum of consecutive naturals, for example, 653165084 + ... + 653187236.

It is an arithmetic number, because the mean of its divisors is an integer number (110820134502).

Almost surely, 2^{14469811472480} is an apocalyptic number.

14469811472480 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 14469811472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21277465824384).

14469811472480 is an abundant number, since it is smaller than the sum of its proper divisors (28085120176288).

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

14469811472480 is a wasteful number, since it uses less digits than its factorization.

14469811472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22698 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 59.

The spelling of 14469811472480 in words is "fourteen trillion, four hundred sixty-nine billion, eight hundred eleven million, four hundred seventy-two thousand, four hundred eighty".