13339674432 has 224 divisors, whose sum is σ = 47178163200. Its totient is φ = 3610676736.

The previous prime is 13339674379. The next prime is 13339674437. The reversal of 13339674432 is 23447693331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13339674437) 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, 200803 + ... + 258845.

It is an arithmetic number, because the mean of its divisors is an integer number (210616800).

Almost surely, 2^13339674432 is an apocalyptic number.

13339674432 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 13339674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23589081600).

13339674432 is an abundant number, since it is smaller than the sum of its proper divisors (33838488768).

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

13339674432 is a wasteful number, since it uses less digits than its factorization.

13339674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58090 (or 58074 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 13339674432 in words is "thirteen billion, three hundred thirty-nine million, six hundred seventy-four thousand, four hundred thirty-two".