11446456320 has 624 divisors, whose sum is σ = 45402647472. Its totient is φ = 2642411520.

The previous prime is 11446456297. The next prime is 11446456321. The reversal of 11446456320 is 2365464411.

11446456320 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 645 + 6 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9437184 + 11437019136 = 3072^2 + 106944^2 .

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446456321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40734580 + ... + 40734860.

It is an arithmetic number, because the mean of its divisors is an integer number (72760653).

Almost surely, 2^11446456320 is an apocalyptic number.

11446456320 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 11446456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701323736).

11446456320 is an abundant number, since it is smaller than the sum of its proper divisors (33956191152).

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

11446456320 is a wasteful number, since it uses less digits than its factorization.

11446456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11446456320 in words is "eleven billion, four hundred forty-six million, four hundred fifty-six thousand, three hundred twenty".