11829228696 has 96 divisors (see below), whose sum is σ = 33783422400. Its totient is φ = 3728928960.

The previous prime is 11829228661. The next prime is 11829228727. The reversal of 11829228696 is 69682292811.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795651 + ... + 810381.

It is an arithmetic number, because the mean of its divisors is an integer number (351910650).

Almost surely, 2^11829228696 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 11829228696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891711200).

11829228696 is an abundant number, since it is smaller than the sum of its proper divisors (21954193704).

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

11829228696 is a wasteful number, since it uses less digits than its factorization.

11829228696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15349 (or 15342 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 11829228696 in words is "eleven billion, eight hundred twenty-nine million, two hundred twenty-eight thousand, six hundred ninety-six".