204045749856000 has 1728 divisors, whose sum is σ = 840859979581440. Its totient is φ = 47065831833600.

The previous prime is 204045749855977. The next prime is 204045749856031. The reversal of 204045749856000 is 658947540402.

204045749856000 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 5 + 74 + 9 + 8 + 560 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14829977121 + ... + 14829990879.

It is an arithmetic number, because the mean of its divisors is an integer number (486608784480).

Almost surely, 2^{204045749856000} is an apocalyptic number.

204045749856000 is a gapful number since it is divisible by the number (20) 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 204045749856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420429989790720).

204045749856000 is an abundant number, since it is smaller than the sum of its proper divisors (636814229725440).

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

204045749856000 is a wasteful number, since it uses less digits than its factorization.

204045749856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14059 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 204045749856000 in words is "two hundred four trillion, forty-five billion, seven hundred forty-nine million, eight hundred fifty-six thousand".