104828247508608 has 768 divisors, whose sum is σ = 347280270704640. Its totient is φ = 31272932044800.

The previous prime is 104828247508549. The next prime is 104828247508613. The reversal of 104828247508608 is 806805742828401.

104828247508608 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 82 + 47 + 508 + 6 + 0 + 8 = 666.

It is a super-2 number, since 2×104828247508608² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2033460433 + ... + 2033511983.

It is an arithmetic number, because the mean of its divisors is an integer number (452187852480).

Almost surely, 2^{104828247508608} is an apocalyptic number.

104828247508608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104828247508608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173640135352320).

104828247508608 is an abundant number, since it is smaller than the sum of its proper divisors (242452023196032).

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

104828247508608 is a wasteful number, since it uses less digits than its factorization.

104828247508608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51747 (or 51723 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 104828247508608 in words is "one hundred four trillion, eight hundred twenty-eight billion, two hundred forty-seven million, five hundred eight thousand, six hundred eight".