11329308432 has 240 divisors, whose sum is σ = 36434275200. Its totient is φ = 3365107200.

The previous prime is 11329308401. The next prime is 11329308433. The reversal of 11329308432 is 23480392311.

11329308432 is a `hidden beast` number, since 1 + 132 + 93 + 0 + 8 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11329308433) 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, 2114557 + ... + 2119907.

It is an arithmetic number, because the mean of its divisors is an integer number (151809480).

Almost surely, 2^11329308432 is an apocalyptic number.

11329308432 is a gapful number since it is divisible by the number (12) 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 11329308432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217137600).

11329308432 is an abundant number, since it is smaller than the sum of its proper divisors (25104966768).

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

11329308432 is a wasteful number, since it uses less digits than its factorization.

11329308432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11329308432 in words is "eleven billion, three hundred twenty-nine million, three hundred eight thousand, four hundred thirty-two".