8124016384 has 144 divisors (see below), whose sum is σ = 18655751520. Its totient is φ = 3496263680.

The previous prime is 8124016367. The next prime is 8124016403. The reversal of 8124016384 is 4836104218.

It is a super-3 number, since 3×8124016384³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327254 + ... + 4329130.

It is an arithmetic number, because the mean of its divisors is an integer number (129553830).

Almost surely, 2^8124016384 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 8124016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327875760).

8124016384 is an abundant number, since it is smaller than the sum of its proper divisors (10531735136).

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

8124016384 is a wasteful number, since it uses less digits than its factorization.

8124016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 8124016384 is about 90133.3256015776. The cubic root of 8124016384 is about 2010.2817508886.

The spelling of 8124016384 in words is "eight billion, one hundred twenty-four million, sixteen thousand, three hundred eighty-four".