11129291808 has 192 divisors, whose sum is σ = 31480202880. Its totient is φ = 3430400000.

The previous prime is 11129291737. The next prime is 11129291809. The reversal of 11129291808 is 80819292111.

It is a happy number.

It is a super-2 number, since 2×11129291808² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11129291808.

It is not an unprimeable number, because it can be changed into a prime (11129291809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41372698 + ... + 41372966.

It is an arithmetic number, because the mean of its divisors is an integer number (163959390).

Almost surely, 2^11129291808 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 11129291808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740101440).

11129291808 is an abundant number, since it is smaller than the sum of its proper divisors (20350911072).

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

11129291808 is a wasteful number, since it uses less digits than its factorization.

11129291808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 11129291808 in words is "eleven billion, one hundred twenty-nine million, two hundred ninety-one thousand, eight hundred eight".