11544184064 has 72 divisors (see below), whose sum is σ = 26371033920. Its totient is φ = 4940771328.

The previous prime is 11544184031. The next prime is 11544184087. The reversal of 11544184064 is 46048144511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445747 + ... + 1453709.

It is an arithmetic number, because the mean of its divisors is an integer number (366264360).

Almost surely, 2^11544184064 is an apocalyptic number.

11544184064 is a gapful number since it is divisible by the number (14) 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 11544184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185516960).

11544184064 is an abundant number, since it is smaller than the sum of its proper divisors (14826849856).

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

11544184064 is an frugal number, since it uses more digits than its factorization.

11544184064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 11544184064 in words is "eleven billion, five hundred forty-four million, one hundred eighty-four thousand, sixty-four".