204835442112 has 448 divisors, whose sum is σ = 705193082880. Its totient is φ = 57088281600.

The previous prime is 204835442107. The next prime is 204835442131. The reversal of 204835442112 is 211244538402.

204835442112 is a `hidden beast` number, since 2 + 0 + 4 + 83 + 544 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324620037 + ... + 324620667.

Almost surely, 2^204835442112 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 204835442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352596541440).

204835442112 is an abundant number, since it is smaller than the sum of its proper divisors (500357640768).

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

204835442112 is a wasteful number, since it uses less digits than its factorization.

204835442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 204835442112 in words is "two hundred four billion, eight hundred thirty-five million, four hundred forty-two thousand, one hundred twelve".