96538349801341 has 6 divisors (see below), whose sum is σ = 112299713034270. Its totient is φ = 82747156972536.

The previous prime is 96538349801339. The next prime is 96538349801371. The reversal of 96538349801341 is 14310894383569.

It can be written as a sum of positive squares in only one way, i.e., 71540639748900 + 24997710052441 = 8458170^2 + 4999771^2 .

It is not a de Polignac number, because 96538349801341 - 2¹ = 96538349801339 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96538349801371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 985085202006 + ... + 985085202103.

It is an arithmetic number, because the mean of its divisors is an integer number (18716618839045).

Almost surely, 2^{96538349801341} is an apocalyptic number.

It is an amenable number.

96538349801341 is a deficient number, since it is larger than the sum of its proper divisors (15761363232929).

96538349801341 is a wasteful number, since it uses less digits than its factorization.

96538349801341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970170404123 (or 1970170404116 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 96538349801341 in words is "ninety-six trillion, five hundred thirty-eight billion, three hundred forty-nine million, eight hundred one thousand, three hundred forty-one".