204901545709056 has 960 divisors, whose sum is σ = 685222357248000. Its totient is φ = 54072097357824.

The previous prime is 204901545709031. The next prime is 204901545709057. The reversal of 204901545709056 is 650907545109402.

It is a super-2 number, since 2×204901545709056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 204901545708987 and 204901545709005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204901545709057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36832919331 + ... + 36832924893.

It is an arithmetic number, because the mean of its divisors is an integer number (713773288800).

Almost surely, 2^{204901545709056} 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 204901545709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342611178624000).

204901545709056 is an abundant number, since it is smaller than the sum of its proper divisors (480320811538944).

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

204901545709056 is a wasteful number, since it uses less digits than its factorization.

204901545709056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 204901545709056 in words is "two hundred four trillion, nine hundred one billion, five hundred forty-five million, seven hundred nine thousand, fifty-six".