204122840064 has 528 divisors, whose sum is σ = 663996754944. Its totient is φ = 55207526400.

The previous prime is 204122840059. The next prime is 204122840071. The reversal of 204122840064 is 460048221402.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×204122840064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177035712 + ... + 177036864.

Almost surely, 2^204122840064 is an apocalyptic number.

204122840064 is a gapful number since it is divisible by the number (24) 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 204122840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331998377472).

204122840064 is an abundant number, since it is smaller than the sum of its proper divisors (459873914880).

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

204122840064 is a wasteful number, since it uses less digits than its factorization.

204122840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 204122840064 in words is "two hundred four billion, one hundred twenty-two million, eight hundred forty thousand, sixty-four".