85446865504 has 192 divisors, whose sum is σ = 227395123200. Its totient is φ = 30522193920.

The previous prime is 85446865453. The next prime is 85446865529. The reversal of 85446865504 is 40556864458.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4763817 + ... + 4781719.

It is an arithmetic number, because the mean of its divisors is an integer number (1184349600).

Almost surely, 2^85446865504 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 85446865504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113697561600).

85446865504 is an abundant number, since it is smaller than the sum of its proper divisors (141948257696).

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

85446865504 is a wasteful number, since it uses less digits than its factorization.

85446865504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18085 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 55.

The spelling of 85446865504 in words is "eighty-five billion, four hundred forty-six million, eight hundred sixty-five thousand, five hundred four".