13384913184 has 144 divisors (see below), whose sum is σ = 38695273344. Its totient is φ = 4387891200.

The previous prime is 13384913137. The next prime is 13384913231. The reversal of 13384913184 is 48131948331.

13384913184 is a `hidden beast` number, since 1 + 3 + 384 + 91 + 3 + 184 = 666.

It is an interprime number because it is at equal distance from previous prime (13384913137) and next prime (13384913231).

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

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

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, 15192424 + ... + 15193304.

It is an arithmetic number, because the mean of its divisors is an integer number (268717176).

Almost surely, 2^13384913184 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 13384913184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347636672).

13384913184 is an abundant number, since it is smaller than the sum of its proper divisors (25310360160).

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

13384913184 is a wasteful number, since it uses less digits than its factorization.

13384913184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1700 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 13384913184 in words is "thirteen billion, three hundred eighty-four million, nine hundred thirteen thousand, one hundred eighty-four".