11445144480 has 576 divisors, whose sum is σ = 50510573568. Its totient is φ = 2377589760.

The previous prime is 11445144457. The next prime is 11445144499. The reversal of 11445144480 is 8444154411.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2991849 + ... + 2995671.

It is an arithmetic number, because the mean of its divisors is an integer number (87691968).

Almost surely, 2^11445144480 is an apocalyptic number.

11445144480 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 11445144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25255286784).

11445144480 is an abundant number, since it is smaller than the sum of its proper divisors (39065429088).

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

11445144480 is a wasteful number, since it uses less digits than its factorization.

11445144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 11445144480 its reverse (8444154411), we get a palindrome (19889298891).

The spelling of 11445144480 in words is "eleven billion, four hundred forty-five million, one hundred forty-four thousand, four hundred eighty".