85216888031337 has 12 divisors (see below), whose sum is σ = 128442845728704. Its totient is φ = 54341203961880.

The previous prime is 85216888031221. The next prime is 85216888031351. The reversal of 85216888031337 is 73313088861258.

85216888031337 is a `hidden beast` number, since 8 + 5 + 216 + 8 + 8 + 80 + 3 + 1 + 337 = 666.

It is not a de Polignac number, because 85216888031337 - 2³⁰ = 85215814289513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85216888131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205837893589 + ... + 205837894002.

It is an arithmetic number, because the mean of its divisors is an integer number (10703570477392).

Almost surely, 2^{85216888031337} is an apocalyptic number.

It is an amenable number.

85216888031337 is a deficient number, since it is larger than the sum of its proper divisors (43225957697367).

85216888031337 is a wasteful number, since it uses less digits than its factorization.

85216888031337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411675787620 (or 411675787617 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 85216888031337 in words is "eighty-five trillion, two hundred sixteen billion, eight hundred eighty-eight million, thirty-one thousand, three hundred thirty-seven".