1828105123806 has 256 divisors, whose sum is σ = 4883517112320. Its totient is φ = 501423022080.

The previous prime is 1828105123729. The next prime is 1828105123843. The reversal of 1828105123806 is 6083215018281.

1828105123806 is a `hidden beast` number, since 182 + 81 + 0 + 5 + 12 + 380 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17335270 + ... + 17440406.

It is an arithmetic number, because the mean of its divisors is an integer number (19076238720).

Almost surely, 2^{1828105123806} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828105123806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441758556160).

1828105123806 is an abundant number, since it is smaller than the sum of its proper divisors (3055411988514).

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

1828105123806 is a wasteful number, since it uses less digits than its factorization.

1828105123806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105256 (or 105250 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1828105123806 in words is "one trillion, eight hundred twenty-eight billion, one hundred five million, one hundred twenty-three thousand, eight hundred six".