11443163172480 has 1536 divisors, whose sum is σ = 48809257056000. Its totient is φ = 2511284207616.

The previous prime is 11443163172449. The next prime is 11443163172487. The reversal of 11443163172480 is 8427136134411.

11443163172480 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 3 + 1 + 631 + 7 + 2 + 4 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11443163172487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1233493602 + ... + 1233502878.

Almost surely, 2^{11443163172480} is an apocalyptic number.

11443163172480 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 11443163172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24404628528000).

11443163172480 is an abundant number, since it is smaller than the sum of its proper divisors (37366093883520).

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

11443163172480 is a wasteful number, since it uses less digits than its factorization.

11443163172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11443163172480 in words is "eleven trillion, four hundred forty-three billion, one hundred sixty-three million, one hundred seventy-two thousand, four hundred eighty".