13819880448 has 594 divisors, whose sum is σ = 48225997638. Its totient is φ = 3941498880.

The previous prime is 13819880443. The next prime is 13819880449. The reversal of 13819880448 is 84408891831.

13819880448 is a `hidden beast` number, since 1 + 3 + 8 + 198 + 8 + 0 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13006946304 + 812934144 = 114048^2 + 28512^2 .

It is a tau number, because it is divible by the number of its divisors (594).

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

It is a junction number, because it is equal to n+sod(n) for n = 13819880394 and 13819880403.

It is not an unprimeable number, because it can be changed into a prime (13819880443) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 812934136 + ... + 812934152.

Almost surely, 2^13819880448 is an apocalyptic number.

13819880448 is a gapful number since it is divisible by the number (18) 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 13819880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24112998819).

13819880448 is an abundant number, since it is smaller than the sum of its proper divisors (34406117190).

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

13819880448 is an frugal number, since it uses more digits than its factorization.

13819880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 13819880448 in words is "thirteen billion, eight hundred nineteen million, eight hundred eighty thousand, four hundred forty-eight".