13638816200 has 48 divisors (see below), whose sum is σ = 31766242500. Its totient is φ = 5445893120.

The previous prime is 13638816199. The next prime is 13638816209. The reversal of 13638816200 is 261883631.

It can be written as a sum of positive squares in 6 ways, for example, as 1802681764 + 11836134436 = 42458^2 + 108794^2 .

It is not an unprimeable number, because it can be changed into a prime (13638816209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53876 + ... + 173724.

Almost surely, 2^13638816200 is an apocalyptic number.

13638816200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13638816200 is an abundant number, since it is smaller than the sum of its proper divisors (18127426300).

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

13638816200 is a wasteful number, since it uses less digits than its factorization.

13638816200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120434 (or 120425 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 13638816200 in words is "thirteen billion, six hundred thirty-eight million, eight hundred sixteen thousand, two hundred".