8136477216 has 240 divisors, whose sum is σ = 27726741504. Its totient is φ = 2292489216.

The previous prime is 8136477211. The next prime is 8136477227. The reversal of 8136477216 is 6127746318.

8136477216 is a `hidden beast` number, since 8 + 1 + 364 + 77 + 216 = 666.

It is a super-2 number, since 2×8136477216² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8136477211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1321441 + ... + 1327583.

Almost surely, 2^8136477216 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 8136477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863370752).

8136477216 is an abundant number, since it is smaller than the sum of its proper divisors (19590264288).

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

8136477216 is a wasteful number, since it uses less digits than its factorization.

8136477216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6228 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 8136477216 is about 90202.4235594588. The cubic root of 8136477216 is about 2011.3090336819.

The spelling of 8136477216 in words is "eight billion, one hundred thirty-six million, four hundred seventy-seven thousand, two hundred sixteen".