14475664000000 has 616 divisors, whose sum is σ = 41571479128256. Its totient is φ = 4935168000000.

The previous prime is 14475663999983. The next prime is 14475664000181. The reversal of 14475664000000 is 46657441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34383999790 + ... + 34384000210.

It is an arithmetic number, because the mean of its divisors is an integer number (67486167416).

Almost surely, 2^{14475664000000} is an apocalyptic number.

14475664000000 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 14475664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785739564128).

14475664000000 is an abundant number, since it is smaller than the sum of its proper divisors (27095815128256).

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

14475664000000 is an frugal number, since it uses more digits than its factorization.

14475664000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 14475664000000 in words is "fourteen trillion, four hundred seventy-five billion, six hundred sixty-four million", and thus it is an aban number.