1820705731416 has 320 divisors, whose sum is σ = 6075616377600. Its totient is φ = 502113427200.

The previous prime is 1820705731321. The next prime is 1820705731423. The reversal of 1820705731416 is 6141375070281.

1820705731416 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 70 + 573 + 1 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×1820705731416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6440775 + ... + 6717513.

It is an arithmetic number, because the mean of its divisors is an integer number (18986301180).

Almost surely, 2^{1820705731416} 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 1820705731416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037808188800).

1820705731416 is an abundant number, since it is smaller than the sum of its proper divisors (4254910646184).

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

1820705731416 is a wasteful number, since it uses less digits than its factorization.

1820705731416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276852 (or 276839 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1820705731416 in words is "one trillion, eight hundred twenty billion, seven hundred five million, seven hundred thirty-one thousand, four hundred sixteen".