13801741600 has 36 divisors (see below), whose sum is σ = 33693503634. Its totient is φ = 5520696320.

The previous prime is 13801741561. The next prime is 13801741687. The reversal of 13801741600 is 614710831.

13801741600 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 12305908624 + 1495832976 = 110932^2 + 38676^2 .

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, 8625289 + ... + 8626888.

Almost surely, 2^13801741600 is an apocalyptic number.

13801741600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13801741600 is an abundant number, since it is smaller than the sum of its proper divisors (19891762034).

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

13801741600 is a wasteful number, since it uses less digits than its factorization.

13801741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17252197 (or 17252184 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 13801741600 in words is "thirteen billion, eight hundred one million, seven hundred forty-one thousand, six hundred".