129949398216225 has 243 divisors, whose sum is σ = 281223719212761. Its totient is φ = 59390665387200.

The previous prime is 129949398216167. The next prime is 129949398216233. The reversal of 129949398216225 is 522612893949921.

The square root of 129949398216225 is 11399535.

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

129949398216225 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 4 + 9 + 398 + 2 + 1 + 6 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51551265566241 + 78398132649984 = 7179921^2 + 8854272^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 129949398216225 - 2³¹ = 129947250732577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 32317679715 + ... + 32317683735.

Almost surely, 2^{129949398216225} is an apocalyptic number.

129949398216225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

129949398216225 is the 11399535-th square number.

129949398216225 is the 5699768-th centered octagonal number.

It is an amenable number.

129949398216225 is an abundant number, since it is smaller than the sum of its proper divisors (151274320996536).

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

129949398216225 is an frugal number, since it uses more digits than its factorization.

129949398216225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 4036 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 129949398216225 in words is "one hundred twenty-nine trillion, nine hundred forty-nine billion, three hundred ninety-eight million, two hundred sixteen thousand, two hundred twenty-five".