11125164032 has 96 divisors (see below), whose sum is σ = 23327740800. Its totient is φ = 5294260224.

The previous prime is 11125164023. The next prime is 11125164047. The reversal of 11125164032 is 23046152111.

It is a junction number, because it is equal to n+sod(n) for n = 11125163992 and 11125164010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12105269 + ... + 12106187.

It is an arithmetic number, because the mean of its divisors is an integer number (242997300).

Almost surely, 2^11125164032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663870400).

11125164032 is an abundant number, since it is smaller than the sum of its proper divisors (12202576768).

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

11125164032 is an equidigital number, since it uses as much as digits as its factorization.

11125164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 11125164032 in words is "eleven billion, one hundred twenty-five million, one hundred sixty-four thousand, thirty-two".