4573909368900 has 315 divisors, whose sum is σ = 15050372772001. Its totient is φ = 1206004567680.

The previous prime is 4573909368881. The next prime is 4573909368911. The reversal of 4573909368900 is 98639093754.

The square root of 4573909368900 is 2138670.

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

4573909368900 is a `hidden beast` number, since 457 + 3 + 9 + 0 + 93 + 6 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4572061744644 + 1847624256 = 2138238^2 + 42984^2 .

It is a super-2 number, since 2×4573909368900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 51392240056 + ... + 51392240144.

Almost surely, 2^{4573909368900} is an apocalyptic number.

4573909368900 is the 2138670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4573909368900

4573909368900 is an abundant number, since it is smaller than the sum of its proper divisors (10476463403101).

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

4573909368900 is an frugal number, since it uses more digits than its factorization.

4573909368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 4573909368900 in words is "four trillion, five hundred seventy-three billion, nine hundred nine million, three hundred sixty-eight thousand, nine hundred".