204273812016 has 120 divisors (see below), whose sum is σ = 601924443120. Its totient is φ = 64491130368.

The previous prime is 204273812011. The next prime is 204273812033. The reversal of 204273812016 is 610218372402.

It is a happy number.

204273812016 is a `hidden beast` number, since 20 + 427 + 3 + 8 + 1 + 201 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (204273812011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15241030 + ... + 15254426.

It is an arithmetic number, because the mean of its divisors is an integer number (5016037026).

Almost surely, 2^204273812016 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 204273812016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300962221560).

204273812016 is an abundant number, since it is smaller than the sum of its proper divisors (397650631104).

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

204273812016 is a wasteful number, since it uses less digits than its factorization.

204273812016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19003 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 204273812016 in words is "two hundred four billion, two hundred seventy-three million, eight hundred twelve thousand, sixteen".