1821342265236 has 288 divisors, whose sum is σ = 5426115720480. Its totient is φ = 509910515712.

The previous prime is 1821342265217. The next prime is 1821342265241. The reversal of 1821342265236 is 6325622431281.

1821342265236 is a `hidden beast` number, since 1 + 8 + 21 + 342 + 265 + 23 + 6 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 156839760900 + 1664502504336 = 396030^2 + 1290156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1821342265191 and 1821342265200.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 46196700 + ... + 46236108.

It is an arithmetic number, because the mean of its divisors is an integer number (18840679585).

Almost surely, 2^{1821342265236} 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 1821342265236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713057860240).

1821342265236 is an abundant number, since it is smaller than the sum of its proper divisors (3604773455244).

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

1821342265236 is a wasteful number, since it uses less digits than its factorization.

1821342265236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39643 (or 39638 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 1821342265236 in words is "one trillion, eight hundred twenty-one billion, three hundred forty-two million, two hundred sixty-five thousand, two hundred thirty-six".