14689223484480 has 336 divisors, whose sum is σ = 52478016724224. Its totient is φ = 3911002030080.

The previous prime is 14689223484479. The next prime is 14689223484497. The reversal of 14689223484480 is 8448432298641.

It is a happy number.

14689223484480 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 92 + 23 + 48 + 4 + 480 = 666.

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, 49696809 + ... + 49991511.

It is an arithmetic number, because the mean of its divisors is an integer number (156184573584).

Almost surely, 2^{14689223484480} is an apocalyptic number.

14689223484480 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 14689223484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26239008362112).

14689223484480 is an abundant number, since it is smaller than the sum of its proper divisors (37788793239744).

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

14689223484480 is an equidigital number, since it uses as much as digits as its factorization.

14689223484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295376 (or 295354 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 14689223484480 in words is "fourteen trillion, six hundred eighty-nine billion, two hundred twenty-three million, four hundred eighty-four thousand, four hundred eighty".