13324842969984 has 2048 divisors, whose sum is σ = 55068249600000. Its totient is φ = 3132273328128.

The previous prime is 13324842969931. The next prime is 13324842970039. The reversal of 13324842969984 is 48996924842331.

13324842969984 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 484 + 2 + 9 + 69 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4977526854 + ... + 4977529530.

It is an arithmetic number, because the mean of its divisors is an integer number (26888793750).

Almost surely, 2^{13324842969984} is an apocalyptic number.

13324842969984 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 13324842969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27534124800000).

13324842969984 is an abundant number, since it is smaller than the sum of its proper divisors (41743406630016).

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

13324842969984 is a wasteful number, since it uses less digits than its factorization.

13324842969984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2738 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 13324842969984 in words is "thirteen trillion, three hundred twenty-four billion, eight hundred forty-two million, nine hundred sixty-nine thousand, nine hundred eighty-four".