92418134688001 has 2 divisors, whose sum is σ = 92418134688002. Its totient is φ = 92418134688000.

The previous prime is 92418134687959. The next prime is 92418134688029. The reversal of 92418134688001 is 10088643181429.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76576150608400 + 15841984079601 = 8750780^2 + 3980199^2 .

It is a cyclic number.

It is not a de Polignac number, because 92418134688001 - 2²⁵ = 92418101133569 is a prime.

It is a super-2 number, since 2×92418134688001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (92418134683001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46209067344000 + 46209067344001.

It is an arithmetic number, because the mean of its divisors is an integer number (46209067344001).

Almost surely, 2^{92418134688001} is an apocalyptic number.

It is an amenable number.

92418134688001 is a deficient number, since it is larger than the sum of its proper divisors (1).

92418134688001 is an equidigital number, since it uses as much as digits as its factorization.

92418134688001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 92418134688001 in words is "ninety-two trillion, four hundred eighteen billion, one hundred thirty-four million, six hundred eighty-eight thousand, one".