1830324243456 has 264 divisors, whose sum is σ = 5615814703824. Its totient is φ = 572176465920.

The previous prime is 1830324243431. The next prime is 1830324243481. The reversal of 1830324243456 is 6543424230381.

1830324243456 is a `hidden beast` number, since 1 + 8 + 30 + 324 + 243 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1830324243431) and next prime (1830324243481).

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 23 ways as a sum of consecutive naturals, for example, 44317536 + ... + 44358816.

Almost surely, 2^{1830324243456} is an apocalyptic number.

1830324243456 is a gapful number since it is divisible by the number (16) 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 1830324243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807907351912).

1830324243456 is an abundant number, since it is smaller than the sum of its proper divisors (3785490460368).

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

1830324243456 is a wasteful number, since it uses less digits than its factorization.

1830324243456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41607 (or 41586 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 1830324243456 in words is "one trillion, eight hundred thirty billion, three hundred twenty-four million, two hundred forty-three thousand, four hundred fifty-six".