13361973984 has 144 divisors (see below), whose sum is σ = 39097199232. Its totient is φ = 4325612544.

The previous prime is 13361973979. The next prime is 13361974027. The reversal of 13361973984 is 48937916331.

It is a happy number.

13361973984 is a `hidden beast` number, since 13 + 3 + 619 + 7 + 3 + 9 + 8 + 4 = 666.

13361973984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 13361973984.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9195402 + ... + 9196854.

It is an arithmetic number, because the mean of its divisors is an integer number (271508328).

Almost surely, 2^13361973984 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 13361973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548599616).

13361973984 is an abundant number, since it is smaller than the sum of its proper divisors (25735225248).

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

13361973984 is a wasteful number, since it uses less digits than its factorization.

13361973984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2358 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 13361973984 in words is "thirteen billion, three hundred sixty-one million, nine hundred seventy-three thousand, nine hundred eighty-four".