8142992418 has 96 divisors (see below), whose sum is σ = 19608583680. Its totient is φ = 2242240000.

The previous prime is 8142992413. The next prime is 8142992423.

8142992418 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8142992413) and next prime (8142992423).

It is not an unprimeable number, because it can be changed into a prime (8142992413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346543 + ... + 369293.

It is an arithmetic number, because the mean of its divisors is an integer number (204256080).

Almost surely, 2^8142992418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142992418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9804291840).

8142992418 is an abundant number, since it is smaller than the sum of its proper divisors (11465591262).

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

8142992418 is a wasteful number, since it uses less digits than its factorization.

8142992418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22824 (or 22813 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 8142992418 is about 90238.5306728783. The cubic root of 8142992418 is about 2011.8457355899.

The spelling of 8142992418 in words is "eight billion, one hundred forty-two million, nine hundred ninety-two thousand, four hundred eighteen".