825112445468634 has 128 divisors (see below), whose sum is σ = 1900542834892800. Its totient is φ = 265229090642880.

The previous prime is 825112445468567. The next prime is 825112445468651. The reversal of 825112445468634 is 436864544211528.

825112445468634 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 1 + 2 + 4 + 4 + 546 + 86 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19679044 + ... + 45138560.

It is an arithmetic number, because the mean of its divisors is an integer number (14847990897600).

Almost surely, 2^{825112445468634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825112445468634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950271417446400).

825112445468634 is an abundant number, since it is smaller than the sum of its proper divisors (1075430389424166).

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

825112445468634 is a wasteful number, since it uses less digits than its factorization.

825112445468634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25459785 (or 25459779 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 63.

The spelling of 825112445468634 in words is "eight hundred twenty-five trillion, one hundred twelve billion, four hundred forty-five million, four hundred sixty-eight thousand, six hundred thirty-four".