8142815304 has 192 divisors, whose sum is σ = 25702185600. Its totient is φ = 2396376576.

The previous prime is 8142815297. The next prime is 8142815309. The reversal of 8142815304 is 4035182418.

8142815304 is a `hidden beast` number, since 8 + 1 + 42 + 81 + 530 + 4 = 666.

It is a super-2 number, since 2×8142815304² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8142815309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574252 + ... + 588260.

It is an arithmetic number, because the mean of its divisors is an integer number (133865550).

Almost surely, 2^8142815304 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 8142815304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12851092800).

8142815304 is an abundant number, since it is smaller than the sum of its proper divisors (17559370296).

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

8142815304 is a wasteful number, since it uses less digits than its factorization.

8142815304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14066 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8142815304 is about 90237.5493018289. The cubic root of 8142815304 is about 2011.8311492802.

The spelling of 8142815304 in words is "eight billion, one hundred forty-two million, eight hundred fifteen thousand, three hundred four".