8136006318 has 96 divisors (see below), whose sum is σ = 20092082400. Its totient is φ = 2356704000.

The previous prime is 8136006317. The next prime is 8136006379.

8136006318 is a `hidden beast` number, since 8 + 13 + 6 + 0 + 0 + 631 + 8 = 666.

8136006318 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8136006313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572928 + ... + 586956.

It is an arithmetic number, because the mean of its divisors is an integer number (209292525).

Almost surely, 2^8136006318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8136006318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046041200).

8136006318 is an abundant number, since it is smaller than the sum of its proper divisors (11956076082).

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

8136006318 is a wasteful number, since it uses less digits than its factorization.

8136006318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 14175 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8136006318 is about 90199.8132924897. The cubic root of 8136006318 is about 2011.2702314809.

It can be divided in two parts, 813600 and 6318, that added together give a palindrome (819918).

The spelling of 8136006318 in words is "eight billion, one hundred thirty-six million, six thousand, three hundred eighteen".