8104333456128 has 576 divisors, whose sum is σ = 28845660569600. Its totient is φ = 1959581859840.

The previous prime is 8104333456103. The next prime is 8104333456151. The reversal of 8104333456128 is 8216543334018.

It is a super-2 number, since 2×8104333456128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41065593 + ... + 41262471.

Almost surely, 2^{8104333456128} 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 8104333456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422830284800).

8104333456128 is an abundant number, since it is smaller than the sum of its proper divisors (20741327113472).

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

8104333456128 is a wasteful number, since it uses less digits than its factorization.

8104333456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196968 (or 196954 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 8104333456128 in words is "eight trillion, one hundred four billion, three hundred thirty-three million, four hundred fifty-six thousand, one hundred twenty-eight".