204036503616 has 567 divisors, whose sum is σ = 677240304013. Its totient is φ = 58685383680.

The previous prime is 204036503579. The next prime is 204036503623. The reversal of 204036503616 is 616305630402.

The square root of 204036503616 is 451704.

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

204036503616 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 36 + 5 + 0 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106991793216 + 97044710400 = 327096^2 + 311520^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3458245795 + ... + 3458245853.

Almost surely, 2^204036503616 is an apocalyptic number.

204036503616 is the 451704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204036503616

204036503616 is an abundant number, since it is smaller than the sum of its proper divisors (473203800397).

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

204036503616 is a wasteful number, since it uses less digits than its factorization.

204036503616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 204036503616 by its sum of digits (36), we get a square (7345314130176 = 2710224²).

204036503616 divided by its sum of digits (36) gives a square (5667680656 = 75284²).

The spelling of 204036503616 in words is "two hundred four billion, thirty-six million, five hundred three thousand, six hundred sixteen".