13220976384 has 288 divisors, whose sum is σ = 48745966080. Its totient is φ = 3433881600.

The previous prime is 13220976371. The next prime is 13220976401. The reversal of 13220976384 is 48367902231.

13220976384 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 9 + 7 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519804 + ... + 544644.

Almost surely, 2^13220976384 is an apocalyptic number.

13220976384 is a gapful number since it is divisible by the number (14) 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 13220976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24372983040).

13220976384 is an abundant number, since it is smaller than the sum of its proper divisors (35524989696).

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

13220976384 is a wasteful number, since it uses less digits than its factorization.

13220976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24884 (or 24864 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13220976384 in words is "thirteen billion, two hundred twenty million, nine hundred seventy-six thousand, three hundred eighty-four".