204206951643912 has 512 divisors, whose sum is σ = 684412968960000. Its totient is φ = 55110832358400.

The previous prime is 204206951643833. The next prime is 204206951643971. The reversal of 204206951643912 is 219346159602402.

204206951643912 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 0 + 6 + 95 + 164 + 391 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27079554862 + ... + 27079562402.

It is an arithmetic number, because the mean of its divisors is an integer number (1336744080000).

Almost surely, 2^{204206951643912} 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 204206951643912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342206484480000).

204206951643912 is an abundant number, since it is smaller than the sum of its proper divisors (480206017316088).

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

204206951643912 is a wasteful number, since it uses less digits than its factorization.

204206951643912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 204206951643912 in words is "two hundred four trillion, two hundred six billion, nine hundred fifty-one million, six hundred forty-three thousand, nine hundred twelve".