204688351872 has 384 divisors, whose sum is σ = 611533962000. Its totient is φ = 65688698880.

The previous prime is 204688351871. The next prime is 204688351873. The reversal of 204688351872 is 278153886402.

204688351872 is a `hidden beast` number, since 2 + 0 + 46 + 8 + 83 + 518 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (204688351871) and next prime (204688351873).

It can be written as a sum of positive squares in 8 ways, for example, as 6506680896 + 198181670976 = 80664^2 + 445176^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (204688351871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183169578 + ... + 1183169750.

Almost surely, 2^204688351872 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 204688351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305766981000).

204688351872 is an abundant number, since it is smaller than the sum of its proper divisors (406845610128).

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

204688351872 is a wasteful number, since it uses less digits than its factorization.

204688351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 204688351872 in words is "two hundred four billion, six hundred eighty-eight million, three hundred fifty-one thousand, eight hundred seventy-two".