204166444416 has 512 divisors, whose sum is σ = 662694359040. Its totient is φ = 54951936000.

The previous prime is 204166444397. The next prime is 204166444429. The reversal of 204166444416 is 614444661402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91266850 + ... + 91269086.

It is an arithmetic number, because the mean of its divisors is an integer number (1294324920).

Almost surely, 2^204166444416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204166444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331347179520).

204166444416 is an abundant number, since it is smaller than the sum of its proper divisors (458527914624).

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

204166444416 is a wasteful number, since it uses less digits than its factorization.

204166444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 204166444416 in words is "two hundred four billion, one hundred sixty-six million, four hundred forty-four thousand, four hundred sixteen".