85146222168 has 576 divisors, whose sum is σ = 299802746880. Its totient is φ = 22100014080.

The previous prime is 85146222053. The next prime is 85146222197. The reversal of 85146222168 is 86122264158.

85146222168 is a `hidden beast` number, since 8 + 5 + 1 + 4 + 622 + 2 + 16 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 222313705 + ... + 222314087.

It is an arithmetic number, because the mean of its divisors is an integer number (520490880).

Almost surely, 2^85146222168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85146222168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149901373440).

85146222168 is an abundant number, since it is smaller than the sum of its proper divisors (214656524712).

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

85146222168 is a wasteful number, since it uses less digits than its factorization.

85146222168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 443 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 85146222168 in words is "eighty-five billion, one hundred forty-six million, two hundred twenty-two thousand, one hundred sixty-eight".