13441873536 has 448 divisors, whose sum is σ = 49446270720. Its totient is φ = 3542870016.

The previous prime is 13441873519. The next prime is 13441873541. The reversal of 13441873536 is 63537814431.

13441873536 is a `hidden beast` number, since 1 + 3 + 4 + 41 + 8 + 73 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 13441873491 and 13441873500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8490601 + ... + 8492183.

It is an arithmetic number, because the mean of its divisors is an integer number (110371140).

Almost surely, 2^13441873536 is an apocalyptic number.

13441873536 is a gapful number since it is divisible by the number (16) 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 13441873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24723135360).

13441873536 is an abundant number, since it is smaller than the sum of its proper divisors (36004397184).

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

13441873536 is an equidigital number, since it uses as much as digits as its factorization.

13441873536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1608 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 13441873536 in words is "thirteen billion, four hundred forty-one million, eight hundred seventy-three thousand, five hundred thirty-six".