85301608448 has 240 divisors, whose sum is σ = 204151516800. Its totient is φ = 35606495232.

The previous prime is 85301608439. The next prime is 85301608463. The reversal of 85301608448 is 84480610358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241647440 + ... + 241647792.

It is an arithmetic number, because the mean of its divisors is an integer number (850631320).

Almost surely, 2^85301608448 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 85301608448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102075758400).

85301608448 is an abundant number, since it is smaller than the sum of its proper divisors (118849908352).

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

85301608448 is an frugal number, since it uses more digits than its factorization.

85301608448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 85301608448 in words is "eighty-five billion, three hundred one million, six hundred eight thousand, four hundred forty-eight".