11482906680 has 384 divisors, whose sum is σ = 44872289280. Its totient is φ = 2586608640.

The previous prime is 11482906679. The next prime is 11482906703. The reversal of 11482906680 is 8660928411.

11482906680 is a `hidden beast` number, since 1 + 1 + 482 + 90 + 6 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4829652 + ... + 4832028.

It is an arithmetic number, because the mean of its divisors is an integer number (116854920).

Almost surely, 2^11482906680 is an apocalyptic number.

11482906680 is a gapful number since it is divisible by the number (10) 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 11482906680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22436144640).

11482906680 is an abundant number, since it is smaller than the sum of its proper divisors (33389382600).

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

11482906680 is a wasteful number, since it uses less digits than its factorization.

11482906680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11482906680 in words is "eleven billion, four hundred eighty-two million, nine hundred six thousand, six hundred eighty".