129163133051641 has 32 divisors (see below), whose sum is σ = 139846071107232. Its totient is φ = 118588700989440.

The previous prime is 129163133051629. The next prime is 129163133051669. The reversal of 129163133051641 is 146150331361921.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1172466668025 + 127990666383616 = 1082805^2 + 11313296^2 .

It is a cyclic number.

It is not a de Polignac number, because 129163133051641 - 2³⁵ = 129128773313273 is a prime.

It is a super-2 number, since 2×129163133051641² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129163133051591 and 129163133051600.

It is not an unprimeable number, because it can be changed into a prime (129163133052641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747972931 + ... + 6747992071.

It is an arithmetic number, because the mean of its divisors is an integer number (4370189722101).

Almost surely, 2^{129163133051641} is an apocalyptic number.

It is an amenable number.

129163133051641 is a deficient number, since it is larger than the sum of its proper divisors (10682938055591).

129163133051641 is a wasteful number, since it uses less digits than its factorization.

129163133051641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22813.

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 129163133051641 in words is "one hundred twenty-nine trillion, one hundred sixty-three billion, one hundred thirty-three million, fifty-one thousand, six hundred forty-one".