204415323414456 has 192 divisors, whose sum is σ = 641979619626240. Its totient is φ = 53093719641600.

The previous prime is 204415323414437. The next prime is 204415323414493. The reversal of 204415323414456 is 654414323514402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295566851 + ... + 1295724621.

It is an arithmetic number, because the mean of its divisors is an integer number (3343643852220).

Almost surely, 2^{204415323414456} 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 204415323414456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320989809813120).

204415323414456 is an abundant number, since it is smaller than the sum of its proper divisors (437564296211784).

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

204415323414456 is a wasteful number, since it uses less digits than its factorization.

204415323414456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221546 (or 221531 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

Adding to 204415323414456 its reverse (654414323514402), we get a palindrome (858829646928858).

The spelling of 204415323414456 in words is "two hundred four trillion, four hundred fifteen billion, three hundred twenty-three million, four hundred fourteen thousand, four hundred fifty-six".