13721381800 has 72 divisors (see below), whose sum is σ = 37110763710. Its totient is φ = 4704470400.

The previous prime is 13721381777. The next prime is 13721381801. The reversal of 13721381800 is 818312731.

It can be written as a sum of positive squares in 3 ways, for example, as 12628814884 + 1092566916 = 112378^2 + 33054^2 .

It is not an unprimeable number, because it can be changed into a prime (13721381801) 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 17 ways as a sum of consecutive naturals, for example, 690271 + ... + 709870.

Almost surely, 2^13721381800 is an apocalyptic number.

13721381800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13721381800 is an abundant number, since it is smaller than the sum of its proper divisors (23389381910).

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

13721381800 is a wasteful number, since it uses less digits than its factorization.

13721381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400171 (or 1400155 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 13721381800 in words is "thirteen billion, seven hundred twenty-one million, three hundred eighty-one thousand, eight hundred".