11133148272 has 80 divisors (see below), whose sum is σ = 29101009440. Its totient is φ = 3667378176.

The previous prime is 11133148237. The next prime is 11133148349. The reversal of 11133148272 is 27284133111.

11133148272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1502208 + ... + 1509600.

It is an arithmetic number, because the mean of its divisors is an integer number (363762618).

Almost surely, 2^11133148272 is an apocalyptic number.

11133148272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11133148272 is an abundant number, since it is smaller than the sum of its proper divisors (17967861168).

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

11133148272 is a wasteful number, since it uses less digits than its factorization.

11133148272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7764 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The spelling of 11133148272 in words is "eleven billion, one hundred thirty-three million, one hundred forty-eight thousand, two hundred seventy-two".