85417066845 has 192 divisors, whose sum is σ = 173763532800. Its totient is φ = 38399961600.

The previous prime is 85417066841. The next prime is 85417066849. The reversal of 85417066845 is 54866071458.

It is an interprime number because it is at equal distance from previous prime (85417066841) and next prime (85417066849).

It is not a de Polignac number, because 85417066845 - 2² = 85417066841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85417066791 and 85417066800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85417066841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72943110 + ... + 72944280.

It is an arithmetic number, because the mean of its divisors is an integer number (905018400).

Almost surely, 2^85417066845 is an apocalyptic number.

It is an amenable number.

85417066845 is an abundant number, since it is smaller than the sum of its proper divisors (88346465955).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85417066845 is a wasteful number, since it uses less digits than its factorization.

85417066845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 85417066845 in words is "eighty-five billion, four hundred seventeen million, sixty-six thousand, eight hundred forty-five".