129076167168 has 400 divisors, whose sum is σ = 428332751616. Its totient is φ = 38429614080.

The previous prime is 129076167161. The next prime is 129076167191. The reversal of 129076167168 is 861761670921.

129076167168 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 7 + 616 + 7 + 16 + 8 = 666.

It is a super-2 number, since 2×129076167168² (a number of 23 digits) contains 22 as substring.

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 (129076167161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16709355 + ... + 16717077.

Almost surely, 2^129076167168 is an apocalyptic number.

129076167168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129076167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214166375808).

129076167168 is an abundant number, since it is smaller than the sum of its proper divisors (299256584448).

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

129076167168 is an equidigital number, since it uses as much as digits as its factorization.

129076167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 129076167168 in words is "one hundred twenty-nine billion, seventy-six million, one hundred sixty-seven thousand, one hundred sixty-eight".