85506141148617 has 32 divisors (see below), whose sum is σ = 132392393671680. Its totient is φ = 48080092363200.

The previous prime is 85506141148613. The next prime is 85506141148627. The reversal of 85506141148617 is 71684114160558.

It is not a de Polignac number, because 85506141148617 - 2² = 85506141148613 is a prime.

It is a super-3 number, since 3×85506141148617³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (85506141148613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123317067 + ... + 124008512.

It is an arithmetic number, because the mean of its divisors is an integer number (4137262302240).

Almost surely, 2^{85506141148617} is an apocalyptic number.

It is an amenable number.

85506141148617 is a deficient number, since it is larger than the sum of its proper divisors (46886252523063).

85506141148617 is a wasteful number, since it uses less digits than its factorization.

85506141148617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247325853.

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 85506141148617 in words is "eighty-five trillion, five hundred six billion, one hundred forty-one million, one hundred forty-eight thousand, six hundred seventeen".