205452785664 has 480 divisors, whose sum is σ = 725642517600. Its totient is φ = 56667340800.

The previous prime is 205452785663. The next prime is 205452785683. The reversal of 205452785664 is 466587254502.

205452785664 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 5 + 2 + 78 + 566 + 4 = 666.

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

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 205452785664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205452785663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33672214 + ... + 33678314.

It is an arithmetic number, because the mean of its divisors is an integer number (1511755245).

Almost surely, 2^205452785664 is an apocalyptic number.

205452785664 is a gapful number since it is divisible by the number (24) 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 205452785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362821258800).

205452785664 is an abundant number, since it is smaller than the sum of its proper divisors (520189731936).

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

205452785664 is an equidigital number, since it uses as much as digits as its factorization.

205452785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 205452785664 in words is "two hundred five billion, four hundred fifty-two million, seven hundred eighty-five thousand, six hundred sixty-four".