204319547712 has 672 divisors, whose sum is σ = 730932833280. Its totient is φ = 56493884160.

The previous prime is 204319547689. The next prime is 204319547713. The reversal of 204319547712 is 217745913402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

204319547712 is a `hidden beast` number, since 2 + 0 + 4 + 31 + 9 + 547 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204319547713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6590953137 + ... + 6590953167.

Almost surely, 2^204319547712 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 204319547712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365466416640).

204319547712 is an abundant number, since it is smaller than the sum of its proper divisors (526613285568).

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

204319547712 is an frugal number, since it uses more digits than its factorization.

204319547712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 204319547712 in words is "two hundred four billion, three hundred nineteen million, five hundred forty-seven thousand, seven hundred twelve".