11225819304 has 192 divisors, whose sum is σ = 36898243200. Its totient is φ = 3009871872.

The previous prime is 11225819279. The next prime is 11225819309. The reversal of 11225819304 is 40391852211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11225819309) 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, 3245544 + ... + 3249000.

It is an arithmetic number, because the mean of its divisors is an integer number (192178350).

Almost surely, 2^11225819304 is an apocalyptic number.

11225819304 is a gapful number since it is divisible by the number (14) 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 11225819304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449121600).

11225819304 is an abundant number, since it is smaller than the sum of its proper divisors (25672423896).

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

11225819304 is a wasteful number, since it uses less digits than its factorization.

11225819304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11225819304 in words is "eleven billion, two hundred twenty-five million, eight hundred nineteen thousand, three hundred four".