12544448004 has 81 divisors (see below), whose sum is σ = 34874879221. Its totient is φ = 3799107840.

The previous prime is 12544447967. The next prime is 12544448129. The reversal of 12544448004 is 40084444521.

The square root of 12544448004 is 112002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12075812100 + 468635904 = 109890^2 + 21648^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12544448004.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7391284 + ... + 7392980.

Almost surely, 2^12544448004 is an apocalyptic number.

12544448004 is the 112002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12544448004

12544448004 is an abundant number, since it is smaller than the sum of its proper divisors (22330431217).

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

12544448004 is a wasteful number, since it uses less digits than its factorization.

12544448004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Multiplying 12544448004 by its sum of digits (36), we get a square (451600128144 = 672012²).

12544448004 divided by its sum of digits (36) gives a square (348456889 = 18667²).

The spelling of 12544448004 in words is "twelve billion, five hundred forty-four million, four hundred forty-eight thousand, four".