123684182008577 has 2 divisors, whose sum is σ = 123684182008578. Its totient is φ = 123684182008576.

The previous prime is 123684182008511. The next prime is 123684182008649. The reversal of 123684182008577 is 775800281486321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95830022496961 + 27854159511616 = 9789281^2 + 5277704^2 .

It is a cyclic number.

It is not a de Polignac number, because 123684182008577 - 2¹⁶ = 123684181943041 is a prime.

It is not a weakly prime, because it can be changed into another prime (123684182001577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61842091004288 + 61842091004289.

It is an arithmetic number, because the mean of its divisors is an integer number (61842091004289).

Almost surely, 2^{123684182008577} is an apocalyptic number.

It is an amenable number.

123684182008577 is a deficient number, since it is larger than the sum of its proper divisors (1).

123684182008577 is an equidigital number, since it uses as much as digits as its factorization.

123684182008577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36126720, while the sum is 62.

The spelling of 123684182008577 in words is "one hundred twenty-three trillion, six hundred eighty-four billion, one hundred eighty-two million, eight thousand, five hundred seventy-seven".