200668161600 has 189 divisors, whose sum is σ = 713413136163. Its totient is φ = 53497175040.

The previous prime is 200668161563. The next prime is 200668161601. The reversal of 200668161600 is 6161866002.

The square root of 200668161600 is 447960.

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 1737889344 + 198930272256 = 41688^2 + 446016^2 .

It is a super-2 number, since 2×200668161600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (200668161601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53753334 + ... + 53757066.

Almost surely, 2^200668161600 is an apocalyptic number.

200668161600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200668161600 is the 447960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200668161600

200668161600 is an abundant number, since it is smaller than the sum of its proper divisors (512744974563).

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

200668161600 is an frugal number, since it uses more digits than its factorization.

200668161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 200668161600 by its sum of digits (36), we get a square (7224053817600 = 2687760²).

200668161600 divided by its sum of digits (36) gives a square (5574115600 = 74660²).

The spelling of 200668161600 in words is "two hundred billion, six hundred sixty-eight million, one hundred sixty-one thousand, six hundred".