11480168448 has 576 divisors, whose sum is σ = 41827968000. Its totient is φ = 3093479424.

The previous prime is 11480168431. The next prime is 11480168477. The reversal of 11480168448 is 84486108411.

11480168448 is a `hidden beast` number, since 1 + 1 + 48 + 0 + 168 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51480465 + ... + 51480687.

It is an arithmetic number, because the mean of its divisors is an integer number (72618000).

Almost surely, 2^11480168448 is an apocalyptic number.

11480168448 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 11480168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984000).

11480168448 is an abundant number, since it is smaller than the sum of its proper divisors (30347799552).

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

11480168448 is a wasteful number, since it uses less digits than its factorization.

11480168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 11480168448 in words is "eleven billion, four hundred eighty million, one hundred sixty-eight thousand, four hundred forty-eight".