204873916900 has 27 divisors (see below), whose sum is σ = 444586221961. Its totient is φ = 81947756240.

The previous prime is 204873916879. The next prime is 204873916921. The reversal of 204873916900 is 9619378402.

The square root of 204873916900 is 452630.

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

It is an interprime number because it is at equal distance from previous prime (204873916879) and next prime (204873916921).

It can be written as a sum of positive squares in only one way, i.e., 73754610084 + 131119306816 = 271578^2 + 362104^2 .

It is a super-2 number, since 2×204873916900² (a number of 23 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 8 ways as a sum of consecutive naturals, for example, 4503669 + ... + 4548931.

Almost surely, 2^204873916900 is an apocalyptic number.

204873916900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204873916900 is the 452630-th square number.

It is an amenable number.

204873916900 is an abundant number, since it is smaller than the sum of its proper divisors (239712305061).

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

204873916900 is an frugal number, since it uses more digits than its factorization.

204873916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90540 (or 45270 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 204873916900 by its sum of digits (49), we get a square (10038821928100 = 3168410²).

The spelling of 204873916900 in words is "two hundred four billion, eight hundred seventy-three million, nine hundred sixteen thousand, nine hundred".