11150871061264 has 135 divisors (see below), whose sum is σ = 24603954660831. Its totient is φ = 4891929208320.

The previous prime is 11150871061261. The next prime is 11150871061301. The reversal of 11150871061264 is 46216017805111.

The square root of 11150871061264 is 3339292.

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 4118870250000 + 7032000811264 = 2029500^2 + 2651792^2 .

It is a super-3 number, since 3×11150871061264³ (a number of 40 digits) contains 333 as substring.

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 11150871061264.

It is not an unprimeable number, because it can be changed into a prime (11150871061261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4260935284 + ... + 4260937900.

Almost surely, 2^{11150871061264} is an apocalyptic number.

11150871061264 is the 3339292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11150871061264

11150871061264 is an abundant number, since it is smaller than the sum of its proper divisors (13453083599567).

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

11150871061264 is an frugal number, since it uses more digits than its factorization.

11150871061264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

Adding to 11150871061264 its reverse (46216017805111), we get a palindrome (57366888866375).

The spelling of 11150871061264 in words is "eleven trillion, one hundred fifty billion, eight hundred seventy-one million, sixty-one thousand, two hundred sixty-four".