13393048032 has 432 divisors, whose sum is σ = 48745543392. Its totient is φ = 3527193600.

The previous prime is 13393048021. The next prime is 13393048033. The reversal of 13393048032 is 23084039331.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13393048033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19105282 + ... + 19105982.

It is an arithmetic number, because the mean of its divisors is an integer number (112836906).

Almost surely, 2^13393048032 is an apocalyptic number.

13393048032 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 13393048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24372771696).

13393048032 is an abundant number, since it is smaller than the sum of its proper divisors (35352495360).

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

13393048032 is an frugal number, since it uses more digits than its factorization.

13393048032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13393048032 in words is "thirteen billion, three hundred ninety-three million, forty-eight thousand, thirty-two".