11640036321 has 9 divisors (see below), whose sum is σ = 16813853329. Its totient is φ = 7759808436.

The previous prime is 11640036319. The next prime is 11640036341. The reversal of 11640036321 is 12363004611.

The square root of 11640036321 is 107889.

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

11640036321 is a `hidden beast` number, since 11 + 640 + 0 + 3 + 6 + 3 + 2 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11640036321 - 2¹ = 11640036319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11640036341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 305686 + ... + 341648.

Almost surely, 2^11640036321 is an apocalyptic number.

11640036321 is the 107889-th square number.

11640036321 is the 53945-th centered octagonal number.

It is an amenable number.

11640036321 is a deficient number, since it is larger than the sum of its proper divisors (5173817008).

11640036321 is an frugal number, since it uses more digits than its factorization.

11640036321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71932 (or 35966 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 11640036321 in words is "eleven billion, six hundred forty million, thirty-six thousand, three hundred twenty-one".