199068453876928 has 448 divisors, whose sum is σ = 452350168704000. Its totient is φ = 86417426350080.

The previous prime is 199068453876893. The next prime is 199068453876947. The reversal of 199068453876928 is 829678354860991.

It is a super-2 number, since 2×199068453876928² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 42599709600 + ... + 42599714272.

It is an arithmetic number, because the mean of its divisors is an integer number (1009710198000).

It is a 1-persistent number, because it is pandigital, but 2⋅199068453876928 = 398136907753856 is not.

Almost surely, 2^{199068453876928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199068453876928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226175084352000).

199068453876928 is an abundant number, since it is smaller than the sum of its proper divisors (253281714827072).

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

199068453876928 is a wasteful number, since it uses less digits than its factorization.

199068453876928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 11287019520, while the sum is 85.

The spelling of 199068453876928 in words is "one hundred ninety-nine trillion, sixty-eight billion, four hundred fifty-three million, eight hundred seventy-six thousand, nine hundred twenty-eight".