8225863695 has 192 divisors, whose sum is σ = 17762374656. Its totient is φ = 3436646400.

The previous prime is 8225863693. The next prime is 8225863697. The reversal of 8225863695 is 5963685228.

8225863695 is a `hidden beast` number, since 8 + 22 + 586 + 36 + 9 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (8225863693) and next prime (8225863697).

It is not a de Polignac number, because 8225863695 - 2¹ = 8225863693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8225863691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36237172 + ... + 36237398.

It is an arithmetic number, because the mean of its divisors is an integer number (92512368).

Almost surely, 2^8225863695 is an apocalyptic number.

8225863695 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8225863695 is an abundant number, since it is smaller than the sum of its proper divisors (9536510961).

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

8225863695 is a wasteful number, since it uses less digits than its factorization.

8225863695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 8225863695 is about 90696.5473157606. The cubic root of 8225863695 is about 2018.6475683185.

It can be divided in two parts, 822586 and 3695, that added together give a square (826281 = 909²).

The spelling of 8225863695 in words is "eight billion, two hundred twenty-five million, eight hundred sixty-three thousand, six hundred ninety-five".