129393559766641 has 9 divisors (see below), whose sum is σ = 136562406137913. Its totient is φ = 122583167658180.

The previous prime is 129393559766503. The next prime is 129393559766663. The reversal of 129393559766641 is 146667955393921.

It is a happy number.

The square root of 129393559766641 is 11375129.

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

It is not a de Polignac number, because 129393559766641 - 2⁴⁵ = 94209187677809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129393559766941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 215828106 + ... + 216426796.

Almost surely, 2^{129393559766641} is an apocalyptic number.

129393559766641 is the 11375129-th square number.

129393559766641 is the 5687565-th centered octagonal number.

It is an amenable number.

129393559766641 is a deficient number, since it is larger than the sum of its proper divisors (7168846371272).

129393559766641 is an frugal number, since it uses more digits than its factorization.

129393559766641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197420 (or 598710 counting only the distinct ones).

The product of its digits is 1984046400, while the sum is 76.

The spelling of 129393559766641 in words is "one hundred twenty-nine trillion, three hundred ninety-three billion, five hundred fifty-nine million, seven hundred sixty-six thousand, six hundred forty-one".