11480347872 has 144 divisors (see below), whose sum is σ = 37420935552. Its totient is φ = 3270447360.

The previous prime is 11480347859. The next prime is 11480347873. The reversal of 11480347872 is 27874308411.

11480347872 is a `hidden beast` number, since 1 + 1 + 480 + 34 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11480347873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 691347 + ... + 707757.

It is an arithmetic number, because the mean of its divisors is an integer number (259867608).

Almost surely, 2^11480347872 is an apocalyptic number.

11480347872 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 11480347872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18710467776).

11480347872 is an abundant number, since it is smaller than the sum of its proper divisors (25940587680).

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

11480347872 is a wasteful number, since it uses less digits than its factorization.

11480347872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16781 (or 16770 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 11480347872 in words is "eleven billion, four hundred eighty million, three hundred forty-seven thousand, eight hundred seventy-two".