129395561797089 has 135 divisors (see below), whose sum is σ = 227186738723043. Its totient is φ = 73180684035648.

The previous prime is 129395561797063. The next prime is 129395561797181. The reversal of 129395561797089 is 980797165593921.

The square root of 129395561797089 is 11375217.

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

129395561797089 is a `hidden beast` number, since 1 + 2 + 9 + 395 + 5 + 61 + 7 + 97 + 0 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3664372205025 + 125731189592064 = 1914255^2 + 11212992^2 .

It is not a de Polignac number, because 129395561797089 - 2⁹ = 129395561796577 is a prime.

It is a super-2 number, since 2×129395561797089² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 129395561796999 and 129395561797017.

It is not an unprimeable number, because it can be changed into a prime (129395561793089) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 73813782237 + ... + 73813783989.

Almost surely, 2^{129395561797089} is an apocalyptic number.

129395561797089 is the 11375217-th square number.

129395561797089 is the 5687609-th centered octagonal number.

It is an amenable number.

129395561797089 is a deficient number, since it is larger than the sum of its proper divisors (97791176925954).

129395561797089 is an frugal number, since it uses more digits than its factorization.

129395561797089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 2314720800, while the sum is 81.

129395561797089 divided by its sum of digits (81) gives a square (1597476071569 = 1263913²).

The spelling of 129395561797089 in words is "one hundred twenty-nine trillion, three hundred ninety-five billion, five hundred sixty-one million, seven hundred ninety-seven thousand, eighty-nine".