13209433344 has 252 divisors, whose sum is σ = 40622494836. Its totient is φ = 4281901056.

The previous prime is 13209433337. The next prime is 13209433409. The reversal of 13209433344 is 44333490231.

13209433344 is a `hidden beast` number, since 13 + 209 + 433 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11664000000 + 1545433344 = 108000^2 + 39312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13209433299 and 13209433308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6904132 + ... + 6906044.

Almost surely, 2^13209433344 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 13209433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311247418).

13209433344 is an abundant number, since it is smaller than the sum of its proper divisors (27413061492).

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

13209433344 is an frugal number, since it uses more digits than its factorization.

13209433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 13209433344 in words is "thirteen billion, two hundred nine million, four hundred thirty-three thousand, three hundred forty-four".