8126112384 has 192 divisors, whose sum is σ = 25530883560. Its totient is φ = 2465759232.

The previous prime is 8126112373. The next prime is 8126112389. The reversal of 8126112384 is 4832116218.

8126112384 is a `hidden beast` number, since 8 + 1 + 2 + 611 + 2 + 38 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3754257984 + 4371854400 = 61272^2 + 66120^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 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 (8126112389) 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 23 ways as a sum of consecutive naturals, for example, 1089532 + ... + 1096964.

Almost surely, 2^8126112384 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 8126112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765441780).

8126112384 is an abundant number, since it is smaller than the sum of its proper divisors (17404771176).

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

8126112384 is a wasteful number, since it uses less digits than its factorization.

8126112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539 (or 7524 counting only the distinct ones).

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

The square root of 8126112384 is about 90144.9520716496. The cubic root of 8126112384 is about 2010.4546205644.

It can be divided in two parts, 8126112 and 384, that added together give a triangular number (8126496 = T₄₀₃₁).

The spelling of 8126112384 in words is "eight billion, one hundred twenty-six million, one hundred twelve thousand, three hundred eighty-four".