85170438144 has 480 divisors, whose sum is σ = 287636590080. Its totient is φ = 24654643200.

The previous prime is 85170438127. The next prime is 85170438149. The reversal of 85170438144 is 44183407158.

85170438144 is a `hidden beast` number, since 8 + 5 + 1 + 70 + 438 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85170438144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85170438149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111918724 + ... + 111919484.

It is an arithmetic number, because the mean of its divisors is an integer number (599242896).

Almost surely, 2^85170438144 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 85170438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143818295040).

85170438144 is an abundant number, since it is smaller than the sum of its proper divisors (202466151936).

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

85170438144 is a wasteful number, since it uses less digits than its factorization.

85170438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 85170438144 in words is "eighty-five billion, one hundred seventy million, four hundred thirty-eight thousand, one hundred forty-four".