11488730587009 has 27 divisors (see below), whose sum is σ = 12545298147753. Its totient is φ = 10516353355872.

The previous prime is 11488730587003. The next prime is 11488730587049. The reversal of 11488730587009 is 90078503788411.

The square root of 11488730587009 is 3389503.

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 1536724684609 + 9952005902400 = 1239647^2 + 3154680^2 .

It is not a de Polignac number, because 11488730587009 - 2⁹ = 11488730586497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11488730587003) 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, 5596068427 + ... + 5596070479.

It is an arithmetic number, because the mean of its divisors is an integer number (464640672139).

Almost surely, 2^{11488730587009} is an apocalyptic number.

11488730587009 is the 3389503-rd square number.

11488730587009 is the 1694752-nd centered octagonal number.

It is an amenable number.

11488730587009 is a deficient number, since it is larger than the sum of its proper divisors (1056567560744).

11488730587009 is an frugal number, since it uses more digits than its factorization.

11488730587009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 61.

The spelling of 11488730587009 in words is "eleven trillion, four hundred eighty-eight billion, seven hundred thirty million, five hundred eighty-seven thousand, nine".