1822817685312 has 168 divisors, whose sum is σ = 5651476180896. Its totient is φ = 558395679744.

The previous prime is 1822817685301. The next prime is 1822817685319. The reversal of 1822817685312 is 2135867182281.

It is a happy number.

1822817685312 is a `hidden beast` number, since 1 + 8 + 22 + 81 + 7 + 6 + 8 + 531 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822817685319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163583 + ... + 2235969.

It is an arithmetic number, because the mean of its divisors is an integer number (33639739172).

Almost surely, 2^{1822817685312} is an apocalyptic number.

1822817685312 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 1822817685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825738090448).

1822817685312 is an abundant number, since it is smaller than the sum of its proper divisors (3828658495584).

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

1822817685312 is a wasteful number, since it uses less digits than its factorization.

1822817685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072645 (or 1072632 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 1822817685312 in words is "one trillion, eight hundred twenty-two billion, eight hundred seventeen million, six hundred eighty-five thousand, three hundred twelve".