11430832896 has 486 divisors, whose sum is σ = 40917027060. Its totient is φ = 3051675648.

The previous prime is 11430832849. The next prime is 11430832901. The reversal of 11430832896 is 69823803411.

11430832896 is a `hidden beast` number, since 1 + 14 + 308 + 328 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 156586716 + ... + 156586788.

Almost surely, 2^11430832896 is an apocalyptic number.

11430832896 is a gapful number since it is divisible by the number (16) 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 11430832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458513530).

11430832896 is an abundant number, since it is smaller than the sum of its proper divisors (29486194164).

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

11430832896 is an equidigital number, since it uses as much as digits as its factorization.

11430832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11430832896 in words is "eleven billion, four hundred thirty million, eight hundred thirty-two thousand, eight hundred ninety-six".