13331979218448 has 360 divisors, whose sum is σ = 42355237377024. Its totient is φ = 3881299161600.

The previous prime is 13331979218417. The next prime is 13331979218461. The reversal of 13331979218448 is 84481297913331.

13331979218448 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 97 + 92 + 18 + 448 = 666.

It is a super-3 number, since 3×13331979218448³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178620465 + ... + 178695087.

Almost surely, 2^{13331979218448} is an apocalyptic number.

13331979218448 is a gapful number since it is divisible by the number (18) 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 13331979218448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177618688512).

13331979218448 is an abundant number, since it is smaller than the sum of its proper divisors (29023258158576).

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

13331979218448 is a wasteful number, since it uses less digits than its factorization.

13331979218448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74795 (or 74743 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 13331979218448 in words is "thirteen trillion, three hundred thirty-one billion, nine hundred seventy-nine million, two hundred eighteen thousand, four hundred forty-eight".