8124004869696 has 315 divisors, whose sum is σ = 24903498208017. Its totient is φ = 2618594542080.

The previous prime is 8124004869611. The next prime is 8124004869737. The reversal of 8124004869696 is 6969684004218.

The square root of 8124004869696 is 2850264.

It is a perfect power (a square), and thus also a powerful number.

8124004869696 is a `hidden beast` number, since 8 + 12 + 400 + 48 + 6 + 96 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5336654414400 + 2787350455296 = 2310120^2 + 1669536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6361788610 + ... + 6361789886.

Almost surely, 2^{8124004869696} is an apocalyptic number.

8124004869696 is the 2850264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8124004869696

8124004869696 is an abundant number, since it is smaller than the sum of its proper divisors (16779493338321).

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

8124004869696 is an frugal number, since it uses more digits than its factorization.

8124004869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 8124004869696 in words is "eight trillion, one hundred twenty-four billion, four million, eight hundred sixty-nine thousand, six hundred ninety-six".