204132273984 has 448 divisors, whose sum is σ = 640460390400. Its totient is φ = 63653990400.

The previous prime is 204132273893. The next prime is 204132274037. The reversal of 204132273984 is 489372231402.

204132273984 is a `hidden beast` number, since 2 + 0 + 413 + 227 + 3 + 9 + 8 + 4 = 666.

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, 224074489 + ... + 224075399.

Almost surely, 2^204132273984 is an apocalyptic number.

204132273984 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 204132273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320230195200).

204132273984 is an abundant number, since it is smaller than the sum of its proper divisors (436328116416).

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

204132273984 is a wasteful number, since it uses less digits than its factorization.

204132273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 204132273984 in words is "two hundred four billion, one hundred thirty-two million, two hundred seventy-three thousand, nine hundred eighty-four".