11640305424032 has 48 divisors (see below), whose sum is σ = 23722656481440. Its totient is φ = 5615767379712.

The previous prime is 11640305424019. The next prime is 11640305424047. The reversal of 11640305424032 is 23042450304611.

It is a junction number, because it is equal to n+sod(n) for n = 11640305423983 and 11640305424001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2704658 + ... + 5531345.

It is an arithmetic number, because the mean of its divisors is an integer number (494222010030).

Almost surely, 2^{11640305424032} is an apocalyptic number.

It is an amenable number.

11640305424032 is an abundant number, since it is smaller than the sum of its proper divisors (12082351057408).

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

11640305424032 is a wasteful number, since it uses less digits than its factorization.

11640305424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237565 (or 8237557 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 11640305424032 its reverse (23042450304611), we get a palindrome (34682755728643).

The spelling of 11640305424032 in words is "eleven trillion, six hundred forty billion, three hundred five million, four hundred twenty-four thousand, thirty-two".