13450304000 has 240 divisors, whose sum is σ = 39024053640. Its totient is φ = 4610457600.

The previous prime is 13450303969. The next prime is 13450304009. The reversal of 13450304000 is 40305431.

It can be written as a sum of positive squares in 4 ways, for example, as 7495403776 + 5954900224 = 86576^2 + 77168^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13450304009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133856 + ... + 3138144.

Almost surely, 2^13450304000 is an apocalyptic number.

13450304000 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 13450304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512026820).

13450304000 is an abundant number, since it is smaller than the sum of its proper divisors (25573749640).

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

13450304000 is an frugal number, since it uses more digits than its factorization.

13450304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13450304000 its reverse (40305431), we get a palindrome (13490609431).

The spelling of 13450304000 in words is "thirteen billion, four hundred fifty million, three hundred four thousand".