199835203870864 has 45 divisors (see below), whose sum is σ = 396859071090891. Its totient is φ = 97479456349440.

The previous prime is 199835203870807. The next prime is 199835203870871. The reversal of 199835203870864 is 468078302538991.

The square root of 199835203870864 is 14136308.

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

It can be written as a sum of positive squares in 4 ways, for example, as 184151956467600 + 15683247403264 = 13570260^2 + 3960208^2 .

It is a super-2 number, since 2×199835203870864² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2318311414 + ... + 2318397610.

It is a 1-persistent number, because it is pandigital, but 2⋅199835203870864 = 399670407741728 is not.

Almost surely, 2^{199835203870864} is an apocalyptic number.

199835203870864 is the 14136308-th square number.

It is an amenable number.

199835203870864 is a deficient number, since it is larger than the sum of its proper divisors (197023867220027).

199835203870864 is an frugal number, since it uses more digits than its factorization.

199835203870864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172484 (or 86240 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 73.

The spelling of 199835203870864 in words is "one hundred ninety-nine trillion, eight hundred thirty-five billion, two hundred three million, eight hundred seventy thousand, eight hundred sixty-four".