199601645824 has 81 divisors (see below), whose sum is σ = 463588565097. Its totient is φ = 85522117632.

The previous prime is 199601645791. The next prime is 199601645851. The reversal of 199601645824 is 428546106991.

The square root of 199601645824 is 446768.

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., 94106605824 + 105495040000 = 306768^2 + 324800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50036022 + ... + 50040010.

Almost surely, 2^199601645824 is an apocalyptic number.

199601645824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

199601645824 is the 446768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199601645824

199601645824 is an abundant number, since it is smaller than the sum of its proper divisors (263986919273).

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

199601645824 is an frugal number, since it uses more digits than its factorization.

199601645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 199601645824 in words is "one hundred ninety-nine billion, six hundred one million, six hundred forty-five thousand, eight hundred twenty-four".