199015468730208 has 1536 divisors, whose sum is σ = 668024444989440. Its totient is φ = 57224724480000.

The previous prime is 199015468730101. The next prime is 199015468730231. The reversal of 199015468730208 is 802037864510991.

199015468730208 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 1 + 546 + 87 + 3 + 0 + 2 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 496297926808 + ... + 496297927208.

It is an arithmetic number, because the mean of its divisors is an integer number (434911748040).

It is a 1-persistent number, because it is pandigital, but 2⋅199015468730208 = 398030937460416 is not.

Almost surely, 2^{199015468730208} is an apocalyptic number.

199015468730208 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 199015468730208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334012222494720).

199015468730208 is an abundant number, since it is smaller than the sum of its proper divisors (469008976259232).

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

199015468730208 is a wasteful number, since it uses less digits than its factorization.

199015468730208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 199015468730208 in words is "one hundred ninety-nine trillion, fifteen billion, four hundred sixty-eight million, seven hundred thirty thousand, two hundred eight".