199801848064 has 243 divisors, whose sum is σ = 504011598237. Its totient is φ = 78785021952.

The previous prime is 199801848047. The next prime is 199801848073. The reversal of 199801848064 is 460848108991.

The square root of 199801848064 is 446992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29556486400 + 170245361664 = 171920^2 + 412608^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 650820199 + ... + 650820505.

Almost surely, 2^199801848064 is an apocalyptic number.

199801848064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

199801848064 is the 446992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199801848064

199801848064 is an abundant number, since it is smaller than the sum of its proper divisors (304209750173).

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

199801848064 is an frugal number, since it uses more digits than its factorization.

199801848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 199801848064 in words is "one hundred ninety-nine billion, eight hundred one million, eight hundred forty-eight thousand, sixty-four".