204437813904 has 135 divisors (see below), whose sum is σ = 587075796489. Its totient is φ = 66411498240.

The previous prime is 204437813897. The next prime is 204437813941. The reversal of 204437813904 is 409318734402.

The square root of 204437813904 is 452148.

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

204437813904 is a `hidden beast` number, since 2 + 0 + 443 + 78 + 139 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9850959504 + 194586854400 = 99252^2 + 441120^2 .

It is a super-3 number, since 3×204437813904³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204437813904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222456357 + ... + 222457275.

Almost surely, 2^204437813904 is an apocalyptic number.

204437813904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

204437813904 is the 452148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204437813904

204437813904 is an abundant number, since it is smaller than the sum of its proper divisors (382637982585).

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

204437813904 is an frugal number, since it uses more digits than its factorization.

204437813904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 204437813904 in words is "two hundred four billion, four hundred thirty-seven million, eight hundred thirteen thousand, nine hundred four".