205461110064 has 160 divisors (see below), whose sum is σ = 636782100480. Its totient is φ = 55846483200.

The previous prime is 205461110047. The next prime is 205461110069. The reversal of 205461110064 is 460011164502.

It is a super-2 number, since 2×205461110064² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205461110069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447379 + ... + 781709.

It is an arithmetic number, because the mean of its divisors is an integer number (3979888128).

Almost surely, 2^205461110064 is an apocalyptic number.

205461110064 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 205461110064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318391050240).

205461110064 is an abundant number, since it is smaller than the sum of its proper divisors (431320990416).

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

205461110064 is a wasteful number, since it uses less digits than its factorization.

205461110064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334439 (or 334433 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 205461110064 its reverse (460011164502), we get a palindrome (665472274566).

The spelling of 205461110064 in words is "two hundred five billion, four hundred sixty-one million, one hundred ten thousand, sixty-four".