1984198723200 has 768 divisors, whose sum is σ = 7343469273600. Its totient is φ = 523197480960.

The previous prime is 1984198723187. The next prime is 1984198723219. The reversal of 1984198723200 is 23278914891.

1984198723200 is a `hidden beast` number, since 19 + 8 + 419 + 8 + 7 + 2 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4285526169 + ... + 4285526631.

It is an arithmetic number, because the mean of its divisors is an integer number (9561808950).

Almost surely, 2^{1984198723200} is an apocalyptic number.

1984198723200 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 1984198723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671734636800).

1984198723200 is an abundant number, since it is smaller than the sum of its proper divisors (5359270550400).

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

1984198723200 is a wasteful number, since it uses less digits than its factorization.

1984198723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1984198723200 in words is "one trillion, nine hundred eighty-four billion, one hundred ninety-eight million, seven hundred twenty-three thousand, two hundred".