13324800384 has 192 divisors, whose sum is σ = 44649390240. Its totient is φ = 3735134208.

The previous prime is 13324800353. The next prime is 13324800407. The reversal of 13324800384 is 48300842331.

It is a happy number.

13324800384 is a `hidden beast` number, since 1 + 33 + 248 + 0 + 0 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411804 + ... + 442980.

Almost surely, 2^13324800384 is an apocalyptic number.

13324800384 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 13324800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22324695120).

13324800384 is an abundant number, since it is smaller than the sum of its proper divisors (31324589856).

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

13324800384 is a wasteful number, since it uses less digits than its factorization.

13324800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31257 (or 31242 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13324800384 in words is "thirteen billion, three hundred twenty-four million, eight hundred thousand, three hundred eighty-four".