13446721600 has 189 divisors, whose sum is σ = 35989687863. Its totient is φ = 4942679040.

The previous prime is 13446721577. The next prime is 13446721601. The reversal of 13446721600 is 612764431.

The square root of 13446721600 is 115960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3465912384 + 9980809216 = 58872^2 + 99904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13446721601) 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 26 ways as a sum of consecutive naturals, for example, 60299089 + ... + 60299311.

Almost surely, 2^13446721600 is an apocalyptic number.

13446721600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13446721600 is the 115960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13446721600

13446721600 is an abundant number, since it is smaller than the sum of its proper divisors (22542966263).

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

13446721600 is an equidigital number, since it uses as much as digits as its factorization.

13446721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 13446721600 in words is "thirteen billion, four hundred forty-six million, seven hundred twenty-one thousand, six hundred".