13735064304 has 60 divisors (see below), whose sum is σ = 41395963336. Its totient is φ = 4226173056.

The previous prime is 13735064293. The next prime is 13735064311. The reversal of 13735064304 is 40346053731.

13735064304 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 5 + 0 + 643 + 0 + 4 = 666.

13735064304 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 (36).

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 11 ways as a sum of consecutive naturals, for example, 3666682 + ... + 3670425.

Almost surely, 2^13735064304 is an apocalyptic number.

It is an amenable number.

13735064304 is an abundant number, since it is smaller than the sum of its proper divisors (27660899032).

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

13735064304 is a wasteful number, since it uses less digits than its factorization.

13735064304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7337134 (or 7337125 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13735064304 in words is "thirteen billion, seven hundred thirty-five million, sixty-four thousand, three hundred four".