13488499600 has 45 divisors (see below), whose sum is σ = 32411701777. Its totient is φ = 5394470720.

The previous prime is 13488499561. The next prime is 13488499603. The reversal of 13488499600 is 699488431.

It is a happy number.

The square root of 13488499600 is 116140.

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

13488499600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4855859856 + 8632639744 = 69684^2 + 92912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13488499603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2319897 + ... + 2325703.

Almost surely, 2^13488499600 is an apocalyptic number.

13488499600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13488499600 is the 116140-th square number.

It is an amenable number.

13488499600 is an abundant number, since it is smaller than the sum of its proper divisors (18923202177).

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

13488499600 is an frugal number, since it uses more digits than its factorization.

13488499600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 13488499600 in words is "thirteen billion, four hundred eighty-eight million, four hundred ninety-nine thousand, six hundred".