85134677218184 has 128 divisors (see below), whose sum is σ = 183947247820800. Its totient is φ = 36890317569600.

The previous prime is 85134677218111. The next prime is 85134677218229. The reversal of 85134677218184 is 48181277643158.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85134677218184.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20191157 + ... + 24040635.

It is an arithmetic number, because the mean of its divisors is an integer number (1437087873600).

Almost surely, 2^{85134677218184} 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 85134677218184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91973623910400).

85134677218184 is an abundant number, since it is smaller than the sum of its proper divisors (98812570602616).

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

85134677218184 is a wasteful number, since it uses less digits than its factorization.

85134677218184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849616 (or 3849590 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 65.

The spelling of 85134677218184 in words is "eighty-five trillion, one hundred thirty-four billion, six hundred seventy-seven million, two hundred eighteen thousand, one hundred eighty-four".