199545009850368 has 2880 divisors, whose sum is σ = 794882941332480. Its totient is φ = 48540665511936.

The previous prime is 199545009850363. The next prime is 199545009850369. The reversal of 199545009850368 is 863058900545991.

199545009850368 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 4 + 50 + 0 + 9 + 8 + 503 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 199545009850296 and 199545009850305.

It is not an unprimeable number, because it can be changed into a prime (199545009850363) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 231222490705 + ... + 231222491567.

It is an arithmetic number, because the mean of its divisors is an integer number (276001021296).

Almost surely, 2^{199545009850368} is an apocalyptic number.

199545009850368 is a gapful number since it is divisible by the number (18) 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 199545009850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397441470666240).

199545009850368 is an abundant number, since it is smaller than the sum of its proper divisors (595337931482112).

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

199545009850368 is a wasteful number, since it uses less digits than its factorization.

199545009850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 199545009850368 in words is "one hundred ninety-nine trillion, five hundred forty-five billion, nine million, eight hundred fifty thousand, three hundred sixty-eight".