13383884000 has 96 divisors (see below), whose sum is σ = 34314186816. Its totient is φ = 5120755200.

The previous prime is 13383883999. The next prime is 13383884009. The reversal of 13383884000 is 48838331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13383884009) 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, 19262 + ... + 164738.

It is an arithmetic number, because the mean of its divisors is an integer number (357439446).

Almost surely, 2^13383884000 is an apocalyptic number.

13383884000 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 13383884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157093408).

13383884000 is an abundant number, since it is smaller than the sum of its proper divisors (20930302816).

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

13383884000 is a wasteful number, since it uses less digits than its factorization.

13383884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145525 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 13383884000 in words is "thirteen billion, three hundred eighty-three million, eight hundred eighty-four thousand".