13429769640168 has 192 divisors, whose sum is σ = 39534094656000. Its totient is φ = 3790120457088.

The previous prime is 13429769640143. The next prime is 13429769640173. The reversal of 13429769640168 is 86104696792431.

It is a junction number, because it is equal to n+sod(n) for n = 13429769640099 and 13429769640108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698766063 + ... + 698785281.

It is an arithmetic number, because the mean of its divisors is an integer number (205906743000).

Almost surely, 2^{13429769640168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13429769640168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767047328000).

13429769640168 is an abundant number, since it is smaller than the sum of its proper divisors (26104325015832).

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

13429769640168 is a wasteful number, since it uses less digits than its factorization.

13429769640168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26484 (or 26473 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 13429769640168 in words is "thirteen trillion, four hundred twenty-nine billion, seven hundred sixty-nine million, six hundred forty thousand, one hundred sixty-eight".