13204350432 has 960 divisors, whose sum is σ = 52558450560. Its totient is φ = 3153199104.

The previous prime is 13204350427. The next prime is 13204350473. The reversal of 13204350432 is 23405340231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13204350396 and 13204350405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148363444 + ... + 148363532.

It is an arithmetic number, because the mean of its divisors is an integer number (54748386).

Almost surely, 2^13204350432 is an apocalyptic number.

13204350432 is a gapful number since it is divisible by the number (12) 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 13204350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26279225280).

13204350432 is an abundant number, since it is smaller than the sum of its proper divisors (39354100128).

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

13204350432 is a wasteful number, since it uses less digits than its factorization.

13204350432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13204350432 its reverse (23405340231), we get a palindrome (36609690663).

The spelling of 13204350432 in words is "thirteen billion, two hundred four million, three hundred fifty thousand, four hundred thirty-two".