13444617648 has 320 divisors, whose sum is σ = 44947123200. Its totient is φ = 3432038400.

The previous prime is 13444617619. The next prime is 13444617649. The reversal of 13444617648 is 84671644431.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 13444617597 and 13444617606.

It is not an unprimeable number, because it can be changed into a prime (13444617649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11046736 + ... + 11047952.

It is an arithmetic number, because the mean of its divisors is an integer number (140459760).

Almost surely, 2^13444617648 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 13444617648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22473561600).

13444617648 is an abundant number, since it is smaller than the sum of its proper divisors (31502505552).

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

13444617648 is a wasteful number, since it uses less digits than its factorization.

13444617648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1301 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 13444617648 in words is "thirteen billion, four hundred forty-four million, six hundred seventeen thousand, six hundred forty-eight".