8283625095168 has 240 divisors, whose sum is σ = 23967895337100. Its totient is φ = 2756890853376.

The previous prime is 8283625095167. The next prime is 8283625095199. The reversal of 8283625095168 is 8615905263828.

8283625095168 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 62 + 50 + 9 + 516 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7036668739584 + 1246956355584 = 2652672^2 + 1116672^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8283625095167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4779932830 + ... + 4779934562.

Almost surely, 2^{8283625095168} 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 8283625095168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983947668550).

8283625095168 is an abundant number, since it is smaller than the sum of its proper divisors (15684270241932).

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

8283625095168 is an equidigital number, since it uses as much as digits as its factorization.

8283625095168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 8283625095168 in words is "eight trillion, two hundred eighty-three billion, six hundred twenty-five million, ninety-five thousand, one hundred sixty-eight".