1882845020224 has 189 divisors, whose sum is σ = 4406515009533. Its totient is φ = 795901349376.

The previous prime is 1882845020207. The next prime is 1882845020233. The reversal of 1882845020224 is 4220205482881.

The square root of 1882845020224 is 1372168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1753590389824 + 129254630400 = 1324232^2 + 359520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8222030542 + ... + 8222030770.

Almost surely, 2^{1882845020224} is an apocalyptic number.

1882845020224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1882845020224 is the 1372168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1882845020224

1882845020224 is an abundant number, since it is smaller than the sum of its proper divisors (2523669989309).

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

1882845020224 is an frugal number, since it uses more digits than its factorization.

1882845020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 46.

The spelling of 1882845020224 in words is "one trillion, eight hundred eighty-two billion, eight hundred forty-five million, twenty thousand, two hundred twenty-four".