11229079904 has 288 divisors, whose sum is σ = 28593782784. Its totient is φ = 4308111360.

The previous prime is 11229079891. The next prime is 11229079907. The reversal of 11229079904 is 40997092211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11229079907) 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, 88417889 + ... + 88418015.

It is an arithmetic number, because the mean of its divisors is an integer number (99283968).

Almost surely, 2^11229079904 is an apocalyptic number.

11229079904 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 11229079904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296891392).

11229079904 is an abundant number, since it is smaller than the sum of its proper divisors (17364702880).

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

11229079904 is a wasteful number, since it uses less digits than its factorization.

11229079904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 11229079904 in words is "eleven billion, two hundred twenty-nine million, seventy-nine thousand, nine hundred four".