13664424384 has 448 divisors, whose sum is σ = 46085760000. Its totient is φ = 3937849344.

The previous prime is 13664424383. The next prime is 13664424401. The reversal of 13664424384 is 48342446631.

13664424384 is a `hidden beast` number, since 1 + 366 + 44 + 243 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664424383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27383367 + ... + 27383865.

It is an arithmetic number, because the mean of its divisors is an integer number (102870000).

Almost surely, 2^13664424384 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 13664424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880000).

13664424384 is an abundant number, since it is smaller than the sum of its proper divisors (32421335616).

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

13664424384 is a wasteful number, since it uses less digits than its factorization.

13664424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

It can be divided in two parts, 136644 and 24384, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 13664424384 in words is "thirteen billion, six hundred sixty-four million, four hundred twenty-four thousand, three hundred eighty-four".