13340381184 has 312 divisors, whose sum is σ = 43077058752. Its totient is φ = 4100751360.

The previous prime is 13340381167. The next prime is 13340381233. The reversal of 13340381184 is 48118304331.

It is a happy number.

13340381184 is a `hidden beast` number, since 133 + 403 + 8 + 118 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12938749 + ... + 12939779.

It is an arithmetic number, because the mean of its divisors is an integer number (138067496).

Almost surely, 2^13340381184 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 13340381184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21538529376).

13340381184 is an abundant number, since it is smaller than the sum of its proper divisors (29736677568).

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

13340381184 is an equidigital number, since it uses as much as digits as its factorization.

13340381184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13340381184 in words is "thirteen billion, three hundred forty million, three hundred eighty-one thousand, one hundred eighty-four".