129151561169664 has 432 divisors, whose sum is σ = 421426376017920. Its totient is φ = 39122646036480.

The previous prime is 129151561169641. The next prime is 129151561169693. The reversal of 129151561169664 is 466961165151921.

129151561169664 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 5 + 1 + 5 + 611 + 6 + 9 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×129151561169664² (a number of 29 digits) contains 22 as substring.

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, 1970032374 + ... + 1970097930.

It is an arithmetic number, because the mean of its divisors is an integer number (975524018560).

Almost surely, 2^{129151561169664} 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 129151561169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210713188008960).

129151561169664 is an abundant number, since it is smaller than the sum of its proper divisors (292274814848256).

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

129151561169664 is an equidigital number, since it uses as much as digits as its factorization.

129151561169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68478 (or 68452 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The spelling of 129151561169664 in words is "one hundred twenty-nine trillion, one hundred fifty-one billion, five hundred sixty-one million, one hundred sixty-nine thousand, six hundred sixty-four".