8139366144 has 216 divisors, whose sum is σ = 28884189152. Its totient is φ = 2146590720.

The previous prime is 8139366143. The next prime is 8139366163. The reversal of 8139366144 is 4416639318.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8139366144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8139366143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190254 + ... + 229074.

Almost surely, 2^8139366144 is an apocalyptic number.

8139366144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8139366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442094576).

8139366144 is an abundant number, since it is smaller than the sum of its proper divisors (20744823008).

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

8139366144 is a wasteful number, since it uses less digits than its factorization.

8139366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38863 (or 38846 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 8139366144 is about 90218.4357213092. The cubic root of 8139366144 is about 2011.5470498517.

The spelling of 8139366144 in words is "eight billion, one hundred thirty-nine million, three hundred sixty-six thousand, one hundred forty-four".