1812343291200 has 2016 divisors, whose sum is σ = 7669039150080. Its totient is φ = 415134720000.

The previous prime is 1812343291193. The next prime is 1812343291207. The reversal of 1812343291200 is 21923432181.

1812343291200 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 343 + 291 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1812343291193) and next prime (1812343291207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1812343291207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7220491075 + ... + 7220491325.

It is an arithmetic number, because the mean of its divisors is an integer number (3804086880).

Almost surely, 2^{1812343291200} is an apocalyptic number.

1812343291200 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 1812343291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834519575040).

1812343291200 is an abundant number, since it is smaller than the sum of its proper divisors (5856695858880).

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

1812343291200 is a wasteful number, since it uses less digits than its factorization.

1812343291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1812343291200 in words is "one trillion, eight hundred twelve billion, three hundred forty-three million, two hundred ninety-one thousand, two hundred".