13293867384 has 144 divisors (see below), whose sum is σ = 41926669200. Its totient is φ = 3794241024.

The previous prime is 13293867371. The next prime is 13293867397. The reversal of 13293867384 is 48376839231.

It is an interprime number because it is at equal distance from previous prime (13293867371) and next prime (13293867397).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13293867384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5498944 + ... + 5501360.

It is an arithmetic number, because the mean of its divisors is an integer number (291157425).

Almost surely, 2^13293867384 is an apocalyptic number.

13293867384 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 13293867384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20963334600).

13293867384 is an abundant number, since it is smaller than the sum of its proper divisors (28632801816).

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

13293867384 is a wasteful number, since it uses less digits than its factorization.

13293867384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3988 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13293867384 in words is "thirteen billion, two hundred ninety-three million, eight hundred sixty-seven thousand, three hundred eighty-four".