85456244412 has 216 divisors, whose sum is σ = 275287783680. Its totient is φ = 22102355520.

The previous prime is 85456244383. The next prime is 85456244413. The reversal of 85456244412 is 21444265458.

85456244412 is a `hidden beast` number, since 8 + 5 + 4 + 5 + 624 + 4 + 4 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85456244413) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4628343 + ... + 4646769.

It is an arithmetic number, because the mean of its divisors is an integer number (1274480480).

Almost surely, 2^85456244412 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 85456244412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137643891840).

85456244412 is an abundant number, since it is smaller than the sum of its proper divisors (189831539268).

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

85456244412 is a wasteful number, since it uses less digits than its factorization.

85456244412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18701 (or 18689 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 85456244412 in words is "eighty-five billion, four hundred fifty-six million, two hundred forty-four thousand, four hundred twelve".