129201846156601 has 9 divisors (see below), whose sum is σ = 129440565777999. Its totient is φ = 128963566045464.

The previous prime is 129201846156521. The next prime is 129201846156623. The reversal of 129201846156601 is 106651648102921.

The square root of 129201846156601 is 11366699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11337732794025 + 117864113362576 = 3367155^2 + 10856524^2 .

It is not a de Polignac number, because 129201846156601 - 2³⁵ = 129167486418233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129201846156001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6331241140 + ... + 6331261546.

Almost surely, 2^{129201846156601} is an apocalyptic number.

129201846156601 is the 11366699-th square number.

129201846156601 is the 5683350-th centered octagonal number.

It is an amenable number.

129201846156601 is a deficient number, since it is larger than the sum of its proper divisors (238719621398).

129201846156601 is an frugal number, since it uses more digits than its factorization.

129201846156601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41928 (or 20964 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 129201846156601 in words is "one hundred twenty-nine trillion, two hundred one billion, eight hundred forty-six million, one hundred fifty-six thousand, six hundred one".