204452297230464 has 960 divisors, whose sum is σ = 670976362774080. Its totient is φ = 61673782579200.

The previous prime is 204452297230417. The next prime is 204452297230501. The reversal of 204452297230464 is 464032792254402.

It is a happy number.

204452297230464 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 522 + 9 + 72 + 3 + 0 + 46 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 204452297230464.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101666979219 + ... + 101666981229.

It is an arithmetic number, because the mean of its divisors is an integer number (698933711223).

Almost surely, 2^{204452297230464} is an apocalyptic number.

204452297230464 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 204452297230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335488181387040).

204452297230464 is an abundant number, since it is smaller than the sum of its proper divisors (466524065543616).

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

204452297230464 is a wasteful number, since it uses less digits than its factorization.

204452297230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 204452297230464 in words is "two hundred four trillion, four hundred fifty-two billion, two hundred ninety-seven million, two hundred thirty thousand, four hundred sixty-four".