13443133248 has 294 divisors, whose sum is σ = 42529747046. Its totient is φ = 4213223424.

The previous prime is 13443133243. The next prime is 13443133337. The reversal of 13443133248 is 84233134431.

13443133248 is a `hidden beast` number, since 13 + 4 + 4 + 313 + 324 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8112965184 + 5330168064 = 90072^2 + 73008^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443133243) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 13483086 + ... + 13484082.

Almost surely, 2^13443133248 is an apocalyptic number.

13443133248 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 13443133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21264873523).

13443133248 is an abundant number, since it is smaller than the sum of its proper divisors (29086613798).

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

13443133248 is an frugal number, since it uses more digits than its factorization.

13443133248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1019 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 13443133248 its reverse (84233134431), we get a palindrome (97676267679).

The spelling of 13443133248 in words is "thirteen billion, four hundred forty-three million, one hundred thirty-three thousand, two hundred forty-eight".