1820311868106 has 96 divisors (see below), whose sum is σ = 4191565105728. Its totient is φ = 591758576640.

The previous prime is 1820311868071. The next prime is 1820311868119. The reversal of 1820311868106 is 6018681130281.

1820311868106 is a `hidden beast` number, since 182 + 0 + 311 + 86 + 81 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747690 + ... + 13879466.

It is an arithmetic number, because the mean of its divisors is an integer number (43662136518).

Almost surely, 2^{1820311868106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820311868106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095782552864).

1820311868106 is an abundant number, since it is smaller than the sum of its proper divisors (2371253237622).

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

1820311868106 is a wasteful number, since it uses less digits than its factorization.

1820311868106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132498 (or 132486 counting only the distinct ones).

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

Adding to 1820311868106 its reverse (6018681130281), we get a palindrome (7838992998387).

The spelling of 1820311868106 in words is "one trillion, eight hundred twenty billion, three hundred eleven million, eight hundred sixty-eight thousand, one hundred six".