11456328960 has 360 divisors, whose sum is σ = 41882835456. Its totient is φ = 2988748800.

The previous prime is 11456328941. The next prime is 11456328967. The reversal of 11456328960 is 6982365411.

11456328960 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 632 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456328967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4871785 + ... + 4874135.

Almost surely, 2^11456328960 is an apocalyptic number.

11456328960 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 11456328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941417728).

11456328960 is an abundant number, since it is smaller than the sum of its proper divisors (30426506496).

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

11456328960 is an equidigital number, since it uses as much as digits as its factorization.

11456328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11456328960 in words is "eleven billion, four hundred fifty-six million, three hundred twenty-eight thousand, nine hundred sixty".