11264328192 has 160 divisors (see below), whose sum is σ = 33107880960. Its totient is φ = 3381166080.

The previous prime is 11264328073. The next prime is 11264328199. The reversal of 11264328192 is 29182346211.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11264328192.

It is not an unprimeable number, because it can be changed into a prime (11264328199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 811809 + ... + 825567.

It is an arithmetic number, because the mean of its divisors is an integer number (206924256).

Almost surely, 2^11264328192 is an apocalyptic number.

11264328192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553940480).

11264328192 is an abundant number, since it is smaller than the sum of its proper divisors (21843552768).

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

11264328192 is a wasteful number, since it uses less digits than its factorization.

11264328192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834 (or 13818 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 11264328192 in words is "eleven billion, two hundred sixty-four million, three hundred twenty-eight thousand, one hundred ninety-two".