11129708304 has 240 divisors, whose sum is σ = 36769771584. Its totient is φ = 3098188800.

The previous prime is 11129708287. The next prime is 11129708329. The reversal of 11129708304 is 40380792111.

It is a happy number.

11129708304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) 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 (36).

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 47 ways as a sum of consecutive naturals, for example, 4673194 + ... + 4675574.

Almost surely, 2^11129708304 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 11129708304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384885792).

11129708304 is an abundant number, since it is smaller than the sum of its proper divisors (25640063280).

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

11129708304 is a wasteful number, since it uses less digits than its factorization.

11129708304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11129708304 in words is "eleven billion, one hundred twenty-nine million, seven hundred eight thousand, three hundred four".