1821671416224 has 192 divisors, whose sum is σ = 5798227639680. Its totient is φ = 551831132160.

The previous prime is 1821671416181. The next prime is 1821671416247. The reversal of 1821671416224 is 4226141761281.

1821671416224 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 6 + 7 + 1 + 416 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1821671416224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28832092 + ... + 28895204.

It is an arithmetic number, because the mean of its divisors is an integer number (30199102290).

Almost surely, 2^{1821671416224} 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 1821671416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899113819840).

1821671416224 is an abundant number, since it is smaller than the sum of its proper divisors (3976556223456).

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

1821671416224 is a wasteful number, since it uses less digits than its factorization.

1821671416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66180 (or 66166 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 1821671416224 in words is "one trillion, eight hundred twenty-one billion, six hundred seventy-one million, four hundred sixteen thousand, two hundred twenty-four".