92354033045329 has 48 divisors (see below), whose sum is σ = 108639651378384. Its totient is φ = 78170944389120.

The previous prime is 92354033045317. The next prime is 92354033045447.

92354033045329 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1289478344704 + 91064554700625 = 1135552^2 + 9542775^2 .

It is not a de Polignac number, because 92354033045329 - 2³³ = 92345443110737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92354033045629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465401959 + ... + 465600355.

It is an arithmetic number, because the mean of its divisors is an integer number (2263326070383).

Almost surely, 2^{92354033045329} is an apocalyptic number.

It is an amenable number.

92354033045329 is a deficient number, since it is larger than the sum of its proper divisors (16285618333055).

92354033045329 is a wasteful number, since it uses less digits than its factorization.

92354033045329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200866 (or 200855 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 52.

The spelling of 92354033045329 in words is "ninety-two trillion, three hundred fifty-four billion, thirty-three million, forty-five thousand, three hundred twenty-nine".