4164472772133 has 16 divisors (see below), whose sum is σ = 5873419616640. Its totient is φ = 2619227660544.

The previous prime is 4164472772093. The next prime is 4164472772153. The reversal of 4164472772133 is 3312772744614.

It is not a de Polignac number, because 4164472772133 - 2⁹ = 4164472771621 is a prime.

It is a super-3 number, since 3×4164472772133³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164472772153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413383168 + ... + 413393241.

It is an arithmetic number, because the mean of its divisors is an integer number (367088726040).

Almost surely, 2^{4164472772133} is an apocalyptic number.

It is an amenable number.

4164472772133 is a deficient number, since it is larger than the sum of its proper divisors (1708946844507).

4164472772133 is a wasteful number, since it uses less digits than its factorization.

4164472772133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826776508.

The product of its digits is 4741632, while the sum is 51.

The spelling of 4164472772133 in words is "four trillion, one hundred sixty-four billion, four hundred seventy-two million, seven hundred seventy-two thousand, one hundred thirty-three".