13819499424 has 144 divisors (see below), whose sum is σ = 42070129920. Its totient is φ = 4457825280.

The previous prime is 13819499357. The next prime is 13819499429. The reversal of 13819499424 is 42499491831.

13819499424 is a `hidden beast` number, since 138 + 19 + 499 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (13819499429) 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, 212392 + ... + 269720.

It is an arithmetic number, because the mean of its divisors is an integer number (292153680).

Almost surely, 2^13819499424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13819499424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035064960).

13819499424 is an abundant number, since it is smaller than the sum of its proper divisors (28250630496).

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

13819499424 is an equidigital number, since it uses as much as digits as its factorization.

13819499424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57385 (or 57365 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 13819499424 in words is "thirteen billion, eight hundred nineteen million, four hundred ninety-nine thousand, four hundred twenty-four".