204661109184 has 224 divisors, whose sum is σ = 643069673472. Its totient is φ = 56211840000.

The previous prime is 204661109167. The next prime is 204661109221. The reversal of 204661109184 is 481901166402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×204661109184² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 6274999 + ... + 6307529.

Almost surely, 2^204661109184 is an apocalyptic number.

204661109184 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 204661109184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321534836736).

204661109184 is an abundant number, since it is smaller than the sum of its proper divisors (438408564288).

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

204661109184 is a wasteful number, since it uses less digits than its factorization.

204661109184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32735 (or 32725 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 204661109184 in words is "two hundred four billion, six hundred sixty-one million, one hundred nine thousand, one hundred eighty-four".