199243268352000 has 2304 divisors, whose sum is σ = 810800565120000. Its totient is φ = 46760774860800.

The previous prime is 199243268351971. The next prime is 199243268352031. The reversal of 199243268352000 is 253862342991.

199243268352000 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 4 + 32 + 6 + 83 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58791166306 + ... + 58791169694.

It is an arithmetic number, because the mean of its divisors is an integer number (351909967500).

Almost surely, 2^{199243268352000} is an apocalyptic number.

199243268352000 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 199243268352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405400282560000).

199243268352000 is an abundant number, since it is smaller than the sum of its proper divisors (611557296768000).

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

199243268352000 is a wasteful number, since it uses less digits than its factorization.

199243268352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 199243268352000 in words is "one hundred ninety-nine trillion, two hundred forty-three billion, two hundred sixty-eight million, three hundred fifty-two thousand".