13729656168 has 80 divisors (see below), whose sum is σ = 39274044480. Its totient is φ = 4479168672.

The previous prime is 13729656167. The next prime is 13729656197. The reversal of 13729656168 is 86165692731.

13729656168 is a `hidden beast` number, since 1 + 3 + 72 + 9 + 6 + 561 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13729656163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194946 + ... + 255857.

It is an arithmetic number, because the mean of its divisors is an integer number (490925556).

Almost surely, 2^13729656168 is an apocalyptic number.

13729656168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13729656168 is an abundant number, since it is smaller than the sum of its proper divisors (25544388312).

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

13729656168 is a wasteful number, since it uses less digits than its factorization.

13729656168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450868 (or 450855 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13729656168 in words is "thirteen billion, seven hundred twenty-nine million, six hundred fifty-six thousand, one hundred sixty-eight".