82666156416129 has 192 divisors, whose sum is σ = 149789060628480. Its totient is φ = 43182974016000.

The previous prime is 82666156416073. The next prime is 82666156416157. The reversal of 82666156416129 is 92161465166628.

It is not a de Polignac number, because 82666156416129 - 2²³ = 82666148027521 is a prime.

It is a super-2 number, since 2×82666156416129² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82666156416199) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10092311424 + ... + 10092319614.

It is an arithmetic number, because the mean of its divisors is an integer number (780151357440).

Almost surely, 2^{82666156416129} is an apocalyptic number.

It is an amenable number.

82666156416129 is a deficient number, since it is larger than the sum of its proper divisors (67122904212351).

82666156416129 is a wasteful number, since it uses less digits than its factorization.

82666156416129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14124 (or 14121 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 82666156416129 in words is "eighty-two trillion, six hundred sixty-six billion, one hundred fifty-six million, four hundred sixteen thousand, one hundred twenty-nine".