11641664133 has 48 divisors (see below), whose sum is σ = 18676012992. Its totient is φ = 6928416000.

The previous prime is 11641664131. The next prime is 11641664147. The reversal of 11641664133 is 33146614611.

11641664133 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 6 + 641 + 3 + 3 = 666.

It is not a de Polignac number, because 11641664133 - 2¹ = 11641664131 is a prime.

It is a super-3 number, since 3×11641664133³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641664131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4896441 + ... + 4898817.

It is an arithmetic number, because the mean of its divisors is an integer number (389083604).

Almost surely, 2^11641664133 is an apocalyptic number.

It is an amenable number.

11641664133 is a deficient number, since it is larger than the sum of its proper divisors (7034348859).

11641664133 is a wasteful number, since it uses less digits than its factorization.

11641664133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3263 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 11641664133 in words is "eleven billion, six hundred forty-one million, six hundred sixty-four thousand, one hundred thirty-three".