11832086448 has 960 divisors, whose sum is σ = 46863667200. Its totient is φ = 2821754880.

The previous prime is 11832086447. The next prime is 11832086473. The reversal of 11832086448 is 84468023811.

11832086448 is a `hidden beast` number, since 1 + 183 + 20 + 8 + 6 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (11832086447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162083340 + ... + 162083412.

It is an arithmetic number, because the mean of its divisors is an integer number (48816320).

Almost surely, 2^11832086448 is an apocalyptic number.

11832086448 is a gapful number since it is divisible by the number (18) 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 11832086448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23431833600).

11832086448 is an abundant number, since it is smaller than the sum of its proper divisors (35031580752).

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

11832086448 is a wasteful number, since it uses less digits than its factorization.

11832086448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 11832086448 in words is "eleven billion, eight hundred thirty-two million, eighty-six thousand, four hundred forty-eight".