850325446656 has 504 divisors, whose sum is σ = 2911950266004. Its totient is φ = 238312488960.

The previous prime is 850325446651. The next prime is 850325446661. The reversal of 850325446656 is 656644523058.

850325446656 is a `hidden beast` number, since 8 + 5 + 0 + 32 + 544 + 6 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (850325446651) and next prime (850325446661).

It can be written as a sum of positive squares in 2 ways, for example, as 847578009600 + 2747437056 = 920640^2 + 52416^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850325446651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191469396 + ... + 191473836.

Almost surely, 2^850325446656 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 850325446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455975133002).

850325446656 is an abundant number, since it is smaller than the sum of its proper divisors (2061624819348).

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

850325446656 is a wasteful number, since it uses less digits than its factorization.

850325446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 850325446656 in words is "eight hundred fifty billion, three hundred twenty-five million, four hundred forty-six thousand, six hundred fifty-six".