13666485144960 has 2048 divisors, whose sum is σ = 56091709440000. Its totient is φ = 3122909282304.

The previous prime is 13666485144959. The next prime is 13666485144973. The reversal of 13666485144960 is 6944158466631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15477332679 + ... + 15477333561.

It is an arithmetic number, because the mean of its divisors is an integer number (27388530000).

Almost surely, 2^{13666485144960} is an apocalyptic number.

13666485144960 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 13666485144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28045854720000).

13666485144960 is an abundant number, since it is smaller than the sum of its proper divisors (42425224295040).

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

13666485144960 is a wasteful number, since it uses less digits than its factorization.

13666485144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 13666485144960 in words is "thirteen trillion, six hundred sixty-six billion, four hundred eighty-five million, one hundred forty-four thousand, nine hundred sixty".