11591587148164 has 9 divisors (see below), whose sum is σ = 20285289425541. Its totient is φ = 5795790169440.

The previous prime is 11591587148023. The next prime is 11591587148171. The reversal of 11591587148164 is 46184178519511.

The square root of 11591587148164 is 3404642.

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

It can be written as a sum of positive squares in only one way, i.e., 11258427308164 + 333159840000 = 3355358^2 + 577200^2 .

It is a super-3 number, since 3×11591587148164³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 5958124 + ... + 7660444.

Almost surely, 2^{11591587148164} is an apocalyptic number.

11591587148164 is the 3404642-nd square number.

It is an amenable number.

11591587148164 is a deficient number, since it is larger than the sum of its proper divisors (8693702277377).

11591587148164 is an frugal number, since it uses more digits than its factorization.

11591587148164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404646 (or 1702323 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 61.

The spelling of 11591587148164 in words is "eleven trillion, five hundred ninety-one billion, five hundred eighty-seven million, one hundred forty-eight thousand, one hundred sixty-four".