8151832656 has 640 divisors, whose sum is σ = 29312409600. Its totient is φ = 2136637440.

The previous prime is 8151832651. The next prime is 8151832669. The reversal of 8151832656 is 6562381518.

8151832656 is a `hidden beast` number, since 81 + 518 + 3 + 2 + 6 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8151832651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72140056 + ... + 72140168.

It is an arithmetic number, because the mean of its divisors is an integer number (45800640).

Almost surely, 2^8151832656 is an apocalyptic number.

It is a pronic number, being equal to 90287×90288.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8151832656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656204800).

8151832656 is an abundant number, since it is smaller than the sum of its proper divisors (21160576944).

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

8151832656 is a wasteful number, since it uses less digits than its factorization.

8151832656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 8151832656 is about 90287.4999986155. The cubic root of 8151832656 is about 2012.5735091188.

The spelling of 8151832656 in words is "eight billion, one hundred fifty-one million, eight hundred thirty-two thousand, six hundred fifty-six".