825579226368 has 1008 divisors, whose sum is σ = 2898841606416. Its totient is φ = 232190115840.

The previous prime is 825579226363. The next prime is 825579226403. The reversal of 825579226368 is 863622975528.

825579226368 is a `hidden beast` number, since 8 + 2 + 5 + 579 + 2 + 26 + 36 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13504299264 + 812074927104 = 116208^2 + 901152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825579226363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1526024178 + ... + 1526024718.

It is an arithmetic number, because the mean of its divisors is an integer number (2875834927).

Almost surely, 2^825579226368 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 825579226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449420803208).

825579226368 is an abundant number, since it is smaller than the sum of its proper divisors (2073262380048).

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

825579226368 is a wasteful number, since it uses less digits than its factorization.

825579226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 613 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 825579226368 in words is "eight hundred twenty-five billion, five hundred seventy-nine million, two hundred twenty-six thousand, three hundred sixty-eight".