1828106942112 has 288 divisors, whose sum is σ = 5973743805120. Its totient is φ = 524466524160.

The previous prime is 1828106942099. The next prime is 1828106942183. The reversal of 1828106942112 is 2112496018281.

1828106942112 is a `hidden beast` number, since 1 + 82 + 81 + 0 + 69 + 421 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1828106942112³ (a number of 38 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 98525028 + ... + 98543580.

It is an arithmetic number, because the mean of its divisors is an integer number (20742165990).

Almost surely, 2^{1828106942112} is an apocalyptic number.

1828106942112 is a gapful number since it is divisible by the number (12) 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 1828106942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986871902560).

1828106942112 is an abundant number, since it is smaller than the sum of its proper divisors (4145636863008).

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

1828106942112 is a wasteful number, since it uses less digits than its factorization.

1828106942112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20236 (or 20225 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1828106942112 in words is "one trillion, eight hundred twenty-eight billion, one hundred six million, nine hundred forty-two thousand, one hundred twelve".