13233684480 has 288 divisors, whose sum is σ = 43486377984. Its totient is φ = 3435134976.

The previous prime is 13233684449. The next prime is 13233684481. The reversal of 13233684480 is 8448633231.

It is not an unprimeable number, because it can be changed into a prime (13233684481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104202177 + ... + 104202303.

It is an arithmetic number, because the mean of its divisors is an integer number (150994368).

Almost surely, 2^13233684480 is an apocalyptic number.

13233684480 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 13233684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743188992).

13233684480 is an abundant number, since it is smaller than the sum of its proper divisors (30252693504).

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

13233684480 is an frugal number, since it uses more digits than its factorization.

13233684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 13233684480 in words is "thirteen billion, two hundred thirty-three million, six hundred eighty-four thousand, four hundred eighty".