11482140096 has 560 divisors, whose sum is σ = 41070458880. Its totient is φ = 3102935040.

The previous prime is 11482140079. The next prime is 11482140151. The reversal of 11482140096 is 69004128411.

11482140096 is a `hidden beast` number, since 1 + 148 + 21 + 400 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11482140096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66370666 + ... + 66370838.

Almost surely, 2^11482140096 is an apocalyptic number.

11482140096 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 11482140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20535229440).

11482140096 is an abundant number, since it is smaller than the sum of its proper divisors (29588318784).

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

11482140096 is a wasteful number, since it uses less digits than its factorization.

11482140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11482140096 in words is "eleven billion, four hundred eighty-two million, one hundred forty thousand, ninety-six".