1822188960000 has 540 divisors, whose sum is σ = 6808473303632. Its totient is φ = 485906688000.

The previous prime is 1822188959939. The next prime is 1822188960013. The reversal of 1822188960000 is 698812281.

It is a happy number.

1822188960000 is a `hidden beast` number, since 1 + 8 + 22 + 18 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 38856567 + ... + 38903433.

Almost surely, 2^{1822188960000} is an apocalyptic number.

1822188960000 is a gapful number since it is divisible by the number (10) 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 1822188960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404236651816).

1822188960000 is an abundant number, since it is smaller than the sum of its proper divisors (4986284343632).

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

1822188960000 is an frugal number, since it uses more digits than its factorization.

1822188960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46918 (or 46877 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1822188960000 in words is "one trillion, eight hundred twenty-two billion, one hundred eighty-eight million, nine hundred sixty thousand".