13849200100 has 18 divisors (see below), whose sum is σ = 30052764434. Its totient is φ = 5539680000.

The previous prime is 13849200097. The next prime is 13849200133. The reversal of 13849200100 is 100294831.

It is a happy number.

13849200100 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 3 ways, for example, as 2751841764 + 11097358336 = 52458^2 + 105344^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 69245901 + ... + 69246100.

Almost surely, 2^13849200100 is an apocalyptic number.

13849200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13849200100 is an abundant number, since it is smaller than the sum of its proper divisors (16203564334).

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

13849200100 is a wasteful number, since it uses less digits than its factorization.

13849200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138492015 (or 138492008 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 13849200100 its reverse (100294831), we get a palindrome (13949494931).

The spelling of 13849200100 in words is "thirteen billion, eight hundred forty-nine million, two hundred thousand, one hundred".