13642803328 has 128 divisors (see below), whose sum is σ = 34674647040. Its totient is φ = 5191603200.

The previous prime is 13642803313. The next prime is 13642803367. The reversal of 13642803328 is 82330824631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13642803328² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407713 + ... + 439903.

It is an arithmetic number, because the mean of its divisors is an integer number (270895680).

Almost surely, 2^13642803328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13642803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337323520).

13642803328 is an abundant number, since it is smaller than the sum of its proper divisors (21031843712).

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

13642803328 is a wasteful number, since it uses less digits than its factorization.

13642803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32266 (or 32254 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 13642803328 in words is "thirteen billion, six hundred forty-two million, eight hundred three thousand, three hundred twenty-eight".