85344217113601 has 8 divisors (see below), whose sum is σ = 85405313450600. Its totient is φ = 85283122700160.

The previous prime is 85344217113587. The next prime is 85344217113667. The reversal of 85344217113601 is 10631171244358.

It can be written as a sum of positive squares in 4 ways, for example, as 13607806143376 + 71736410970225 = 3688876^2 + 8469735^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85344217113601 - 2¹⁷ = 85344216982529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85344217113301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95069035 + ... + 95962543.

It is an arithmetic number, because the mean of its divisors is an integer number (10675664181325).

Almost surely, 2^{85344217113601} is an apocalyptic number.

It is an amenable number.

85344217113601 is a deficient number, since it is larger than the sum of its proper divisors (61096336999).

85344217113601 is a wasteful number, since it uses less digits than its factorization.

85344217113601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961779.

The product of its (nonzero) digits is 483840, while the sum is 46.

Adding to 85344217113601 its reverse (10631171244358), we get a palindrome (95975388357959).

The spelling of 85344217113601 in words is "eighty-five trillion, three hundred forty-four billion, two hundred seventeen million, one hundred thirteen thousand, six hundred one".