11448326544480 has 768 divisors, whose sum is σ = 47466051010560. Its totient is φ = 2522838472704.

The previous prime is 11448326544439. The next prime is 11448326544497. The reversal of 11448326544480 is 8444562384411.

11448326544480 is a `hidden beast` number, since 1 + 1 + 44 + 83 + 2 + 6 + 5 + 44 + 480 = 666.

11448326544480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95165649 + ... + 95285871.

It is an arithmetic number, because the mean of its divisors is an integer number (61804753920).

Almost surely, 2^{11448326544480} is an apocalyptic number.

11448326544480 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 11448326544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23733025505280).

11448326544480 is an abundant number, since it is smaller than the sum of its proper divisors (36017724466080).

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

11448326544480 is a wasteful number, since it uses less digits than its factorization.

11448326544480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120368 (or 120354 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 11448326544480 in words is "eleven trillion, four hundred forty-eight billion, three hundred twenty-six million, five hundred forty-four thousand, four hundred eighty".