832241725056 has 384 divisors, whose sum is σ = 2768516150400. Its totient is φ = 235054669824.

The previous prime is 832241725033. The next prime is 832241725061. The reversal of 832241725056 is 650527142238.

832241725056 is a `hidden beast` number, since 8 + 32 + 2 + 41 + 72 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515958106 + ... + 515959718.

It is an arithmetic number, because the mean of its divisors is an integer number (7209677475).

Almost surely, 2^832241725056 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 832241725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384258075200).

832241725056 is an abundant number, since it is smaller than the sum of its proper divisors (1936274425344).

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

832241725056 is a wasteful number, since it uses less digits than its factorization.

832241725056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 832241725056 in words is "eight hundred thirty-two billion, two hundred forty-one million, seven hundred twenty-five thousand, fifty-six".