11229133824 has 132 divisors (see below), whose sum is σ = 32615931816. Its totient is φ = 3720880128.

The previous prime is 11229133787. The next prime is 11229133829. The reversal of 11229133824 is 42833192211.

11229133824 is a `hidden beast` number, since 1 + 12 + 291 + 338 + 24 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11229133829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590847 + ... + 1597889.

Almost surely, 2^11229133824 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 11229133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307965908).

11229133824 is an abundant number, since it is smaller than the sum of its proper divisors (21386797992).

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

11229133824 is a wasteful number, since it uses less digits than its factorization.

11229133824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7221 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 11229133824 in words is "eleven billion, two hundred twenty-nine million, one hundred thirty-three thousand, eight hundred twenty-four".