14685721666560 has 1320 divisors, whose sum is σ = 61395355680120. Its totient is φ = 3346977521664.

The previous prime is 14685721666519. The next prime is 14685721666673. The reversal of 14685721666560 is 6566612758641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 198502327296 + 14487219339264 = 445536^2 + 3806208^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 8799113406 + ... + 8799115074.

It is an arithmetic number, because the mean of its divisors is an integer number (46511633091).

Almost surely, 2^{14685721666560} is an apocalyptic number.

14685721666560 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 14685721666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30697677840060).

14685721666560 is an abundant number, since it is smaller than the sum of its proper divisors (46709634013560).

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

14685721666560 is a wasteful number, since it uses less digits than its factorization.

14685721666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 14685721666560 in words is "fourteen trillion, six hundred eighty-five billion, seven hundred twenty-one million, six hundred sixty-six thousand, five hundred sixty".