11244433105984 has 189 divisors, whose sum is σ = 25515228695247. Its totient is φ = 4913697005568.

The previous prime is 11244433105981. The next prime is 11244433106047. The reversal of 11244433105984 is 48950133444211.

The square root of 11244433105984 is 3353272.

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

It can be written as a sum of positive squares in 4 ways, for example, as 445059768384 + 10799373337600 = 667128^2 + 3286240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11244433105981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6626064624 + ... + 6626066320.

Almost surely, 2^{11244433105984} is an apocalyptic number.

11244433105984 is the 3353272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244433105984

11244433105984 is an abundant number, since it is smaller than the sum of its proper divisors (14270795589263).

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

11244433105984 is an frugal number, since it uses more digits than its factorization.

11244433105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 11244433105984 by its sum of digits (49), we get a square (550977222193216 = 23472904²).

The spelling of 11244433105984 in words is "eleven trillion, two hundred forty-four billion, four hundred thirty-three million, one hundred five thousand, nine hundred eighty-four".