11248363484164 has 27 divisors (see below), whose sum is σ = 19721717253343. Its totient is φ = 5613607027808.

The previous prime is 11248363484153. The next prime is 11248363484201. The reversal of 11248363484164 is 46148436384211.

The square root of 11248363484164 is 3353858.

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

11248363484164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4784972501764 + 6463390982400 = 2187458^2 + 2542320^2 .

It is a super-3 number, since 3×11248363484164³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4541122494 + ... + 4541124970.

Almost surely, 2^{11248363484164} is an apocalyptic number.

11248363484164 is the 3353858-th square number.

It is an amenable number.

11248363484164 is a deficient number, since it is larger than the sum of its proper divisors (8473353769179).

11248363484164 is an frugal number, since it uses more digits than its factorization.

11248363484164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 3156 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 55.

The spelling of 11248363484164 in words is "eleven trillion, two hundred forty-eight billion, three hundred sixty-three million, four hundred eighty-four thousand, one hundred sixty-four".