1830221298000 has 320 divisors, whose sum is σ = 6708739065600. Its totient is φ = 476708198400.

The previous prime is 1830221297977. The next prime is 1830221298067. The reversal of 1830221298000 is 8921220381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1927896 + ... + 2716104.

It is an arithmetic number, because the mean of its divisors is an integer number (20964809580).

Almost surely, 2^{1830221298000} is an apocalyptic number.

1830221298000 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 1830221298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354369532800).

1830221298000 is an abundant number, since it is smaller than the sum of its proper divisors (4878517767600).

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

1830221298000 is a wasteful number, since it uses less digits than its factorization.

1830221298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788284 (or 788262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1830221298000 in words is "one trillion, eight hundred thirty billion, two hundred twenty-one million, two hundred ninety-eight thousand".