8121832118568 has 320 divisors, whose sum is σ = 27938658464640. Its totient is φ = 2151423369216.

The previous prime is 8121832118507. The next prime is 8121832118581. The reversal of 8121832118568 is 8658112381218.

It is a happy number.

8121832118568 is a `hidden beast` number, since 81 + 2 + 1 + 8 + 321 + 185 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4380496 + ... + 5952512.

It is an arithmetic number, because the mean of its divisors is an integer number (87308307702).

Almost surely, 2^{8121832118568} 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 8121832118568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969329232320).

8121832118568 is an abundant number, since it is smaller than the sum of its proper divisors (19816826346072).

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

8121832118568 is a wasteful number, since it uses less digits than its factorization.

8121832118568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572126 (or 1572113 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The spelling of 8121832118568 in words is "eight trillion, one hundred twenty-one billion, eight hundred thirty-two million, one hundred eighteen thousand, five hundred sixty-eight".