8226745956 has 288 divisors, whose sum is σ = 25246480896. Its totient is φ = 2244211200.

The previous prime is 8226745949. The next prime is 8226745973. The reversal of 8226745956 is 6595476228.

8226745956 is a `hidden beast` number, since 82 + 2 + 67 + 459 + 56 = 666.

Its product of digits (7257600) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29276536 + ... + 29276816.

It is an arithmetic number, because the mean of its divisors is an integer number (87661392).

Almost surely, 2^8226745956 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 8226745956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12623240448).

8226745956 is an abundant number, since it is smaller than the sum of its proper divisors (17019734940).

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

8226745956 is a wasteful number, since it uses less digits than its factorization.

8226745956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 357 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 8226745956 is about 90701.4109923324. The cubic root of 8226745956 is about 2018.7197354254.

The spelling of 8226745956 in words is "eight billion, two hundred twenty-six million, seven hundred forty-five thousand, nine hundred fifty-six".