13705468600 has 24 divisors (see below), whose sum is σ = 31865214960. Its totient is φ = 5482187360.

The previous prime is 13705468589. The next prime is 13705468613. The reversal of 13705468600 is 686450731.

It is a happy number.

13705468600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 34263472 + ... + 34263871.

It is an arithmetic number, because the mean of its divisors is an integer number (1327717290).

Almost surely, 2^13705468600 is an apocalyptic number.

13705468600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13705468600 is an abundant number, since it is smaller than the sum of its proper divisors (18159746360).

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

13705468600 is a wasteful number, since it uses less digits than its factorization.

13705468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68527359 (or 68527350 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 13705468600 in words is "thirteen billion, seven hundred five million, four hundred sixty-eight thousand, six hundred".