11224255468644 has 81 divisors (see below), whose sum is σ = 28770172335723. Its totient is φ = 3689683743744.

The previous prime is 11224255468607. The next prime is 11224255468687. The reversal of 11224255468644 is 44686455242211.

The square root of 11224255468644 is 3350262.

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

11224255468644 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 2 + 554 + 6 + 86 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2645729964900 + 8578525503744 = 1626570^2 + 2928912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1467410932 + ... + 1467418580.

Almost surely, 2^{11224255468644} is an apocalyptic number.

11224255468644 is the 3350262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11224255468644

11224255468644 is an abundant number, since it is smaller than the sum of its proper divisors (17545916867079).

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

11224255468644 is an frugal number, since it uses more digits than its factorization.

11224255468644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15454 (or 7727 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 11224255468644 in words is "eleven trillion, two hundred twenty-four billion, two hundred fifty-five million, four hundred sixty-eight thousand, six hundred forty-four".