8225117136 has 100 divisors (see below), whose sum is σ = 23845422084. Its totient is φ = 2737152000.

The previous prime is 8225117107. The next prime is 8225117143. The reversal of 8225117136 is 6317115228.

8225117136 is a `hidden beast` number, since 8 + 2 + 2 + 511 + 7 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7684275600 + 540841536 = 87660^2 + 23256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8225117136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 825786 + ... + 835686.

Almost surely, 2^8225117136 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 8225117136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922711042).

8225117136 is an abundant number, since it is smaller than the sum of its proper divisors (15620304948).

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

8225117136 is a wasteful number, since it uses less digits than its factorization.

8225117136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10547 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 8225117136 is about 90692.4315254586. The cubic root of 8225117136 is about 2018.5864973210.

The spelling of 8225117136 in words is "eight billion, two hundred twenty-five million, one hundred seventeen thousand, one hundred thirty-six".