199198094256 has 720 divisors, whose sum is σ = 706876185600. Its totient is φ = 51142440960.

The previous prime is 199198094203. The next prime is 199198094257. The reversal of 199198094256 is 652490891991.

199198094256 is a `hidden beast` number, since 19 + 9 + 198 + 0 + 9 + 425 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 199198094193 and 199198094202.

It is not an unprimeable number, because it can be changed into a prime (199198094257) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1454000620 + ... + 1454000756.

It is an arithmetic number, because the mean of its divisors is an integer number (981772480).

Almost surely, 2^199198094256 is an apocalyptic number.

199198094256 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 199198094256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353438092800).

199198094256 is an abundant number, since it is smaller than the sum of its proper divisors (507678091344).

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

199198094256 is a wasteful number, since it uses less digits than its factorization.

199198094256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 199198094256 in words is "one hundred ninety-nine billion, one hundred ninety-eight million, ninety-four thousand, two hundred fifty-six".