13665623328 has 432 divisors, whose sum is σ = 47916925056. Its totient is φ = 3675893760.

The previous prime is 13665623303. The next prime is 13665623333. The reversal of 13665623328 is 82332656631.

13665623328 is a `hidden beast` number, since 1 + 3 + 66 + 562 + 3 + 3 + 28 = 666.

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, 23044600 + ... + 23045192.

It is an arithmetic number, because the mean of its divisors is an integer number (110918808).

Almost surely, 2^13665623328 is an apocalyptic number.

13665623328 is a gapful number since it is divisible by the number (18) 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 13665623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23958462528).

13665623328 is an abundant number, since it is smaller than the sum of its proper divisors (34251301728).

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

13665623328 is a wasteful number, since it uses less digits than its factorization.

13665623328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 699 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 13665623328 in words is "thirteen billion, six hundred sixty-five million, six hundred twenty-three thousand, three hundred twenty-eight".