85667867946 has 64 divisors (see below), whose sum is σ = 193694889600. Its totient is φ = 28061624448.

The previous prime is 85667867917. The next prime is 85667868049. The reversal of 85667867946 is 64976876658.

It is a super-3 number, since 3×85667867946³ (a number of 34 digits) contains 333 as substring.

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, 728700 + ... + 838056.

It is an arithmetic number, because the mean of its divisors is an integer number (3026482650).

Almost surely, 2^85667867946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85667867946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96847444800).

85667867946 is an abundant number, since it is smaller than the sum of its proper divisors (108027021654).

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

85667867946 is a wasteful number, since it uses less digits than its factorization.

85667867946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109620 (or 109614 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 85667867946 in words is "eighty-five billion, six hundred sixty-seven million, eight hundred sixty-seven thousand, nine hundred forty-six".