13680431232 has 256 divisors, whose sum is σ = 41270342400. Its totient is φ = 3985293312.

The previous prime is 13680431221. The next prime is 13680431239. The reversal of 13680431232 is 23213408631.

It is a junction number, because it is equal to n+sod(n) for n = 13680431193 and 13680431202.

It is not an unprimeable number, because it can be changed into a prime (13680431239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7671813 + ... + 7673595.

It is an arithmetic number, because the mean of its divisors is an integer number (161212275).

Almost surely, 2^13680431232 is an apocalyptic number.

13680431232 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 13680431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635171200).

13680431232 is an abundant number, since it is smaller than the sum of its proper divisors (27589911168).

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

13680431232 is a wasteful number, since it uses less digits than its factorization.

13680431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 13680431232 its reverse (23213408631), we get a palindrome (36893839863).

The spelling of 13680431232 in words is "thirteen billion, six hundred eighty million, four hundred thirty-one thousand, two hundred thirty-two".