13743664704 has 168 divisors, whose sum is σ = 49114423488. Its totient is φ = 3569771520.

The previous prime is 13743664679. The next prime is 13743664709. The reversal of 13743664704 is 40746634731.

13743664704 is a `hidden beast` number, since 137 + 43 + 6 + 6 + 470 + 4 = 666.

13743664704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 13743664704.

It is not an unprimeable number, because it can be changed into a prime (13743664709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110587 + ... + 199290.

Almost surely, 2^13743664704 is an apocalyptic number.

13743664704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13743664704 is an abundant number, since it is smaller than the sum of its proper divisors (35370758784).

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

13743664704 is a wasteful number, since it uses less digits than its factorization.

13743664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309913 (or 309900 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 13743664704 in words is "thirteen billion, seven hundred forty-three million, six hundred sixty-four thousand, seven hundred four".