8144142912 has 84 divisors (see below), whose sum is σ = 23913143436. Its totient is φ = 2648494080.

The previous prime is 8144142911. The next prime is 8144142931. The reversal of 8144142912 is 2192414418.

It can be written as a sum of positive squares in 2 ways, for example, as 2359627776 + 5784515136 = 48576^2 + 76056^2 .

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

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 (8144142911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148813 + ... + 196044.

It is an arithmetic number, because the mean of its divisors is an integer number (284680279).

Almost surely, 2^8144142912 is an apocalyptic number.

8144142912 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

8144142912 is an abundant number, since it is smaller than the sum of its proper divisors (15769000524).

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

8144142912 is a wasteful number, since it uses less digits than its factorization.

8144142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344916 (or 344903 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8144142912 is about 90244.9051858331. The cubic root of 8144142912 is about 2011.9404799349.

The spelling of 8144142912 in words is "eight billion, one hundred forty-four million, one hundred forty-two thousand, nine hundred twelve".