204107306487168 has 384 divisors, whose sum is σ = 667838249174880. Its totient is φ = 54880762331136.

The previous prime is 204107306487167. The next prime is 204107306487199. The reversal of 204107306487168 is 861784603701402.

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

It is a super-2 number, since 2×204107306487168² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204107306487163) 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, 4304493796 + ... + 4304541212.

Almost surely, 2^{204107306487168} is an apocalyptic number.

204107306487168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204107306487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333919124587440).

204107306487168 is an abundant number, since it is smaller than the sum of its proper divisors (463730942687712).

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

204107306487168 is a wasteful number, since it uses less digits than its factorization.

204107306487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60922 (or 60903 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 204107306487168 in words is "two hundred four trillion, one hundred seven billion, three hundred six million, four hundred eighty-seven thousand, one hundred sixty-eight".