13984568832 has 240 divisors, whose sum is σ = 42728582160. Its totient is φ = 4048551936.

The previous prime is 13984568831. The next prime is 13984568837. The reversal of 13984568832 is 23886548931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13984568831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4411344 + ... + 4414512.

It is an arithmetic number, because the mean of its divisors is an integer number (178035759).

Almost surely, 2^13984568832 is an apocalyptic number.

13984568832 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 13984568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364291080).

13984568832 is an abundant number, since it is smaller than the sum of its proper divisors (28744013328).

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

13984568832 is a wasteful number, since it uses less digits than its factorization.

13984568832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3204 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 13984568832 in words is "thirteen billion, nine hundred eighty-four million, five hundred sixty-eight thousand, eight hundred thirty-two".