13819448832 has 240 divisors, whose sum is σ = 44215598592. Its totient is φ = 3820400640.

The previous prime is 13819448831. The next prime is 13819448843. The reversal of 13819448832 is 23884491831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13819448831) 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, 2330223 + ... + 2336145.

Almost surely, 2^13819448832 is an apocalyptic number.

13819448832 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 13819448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107799296).

13819448832 is an abundant number, since it is smaller than the sum of its proper divisors (30396149760).

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

13819448832 is an equidigital number, since it uses as much as digits as its factorization.

13819448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5966 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 13819448832 in words is "thirteen billion, eight hundred nineteen million, four hundred forty-eight thousand, eight hundred thirty-two".