14660561664 has 648 divisors, whose sum is σ = 52344714240. Its totient is φ = 3928780800.

The previous prime is 14660561653. The next prime is 14660561681. The reversal of 14660561664 is 46616506641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206486749 + ... + 206486819.

It is an arithmetic number, because the mean of its divisors is an integer number (80778880).

Almost surely, 2^14660561664 is an apocalyptic number.

14660561664 is a gapful number since it is divisible by the number (14) 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 14660561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172357120).

14660561664 is an abundant number, since it is smaller than the sum of its proper divisors (37684152576).

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

14660561664 is a wasteful number, since it uses less digits than its factorization.

14660561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 14660561664 in words is "fourteen billion, six hundred sixty million, five hundred sixty-one thousand, six hundred sixty-four".