204214600464 has 80 divisors (see below), whose sum is σ = 603560952960. Its totient is φ = 58284933120.

The previous prime is 204214600463. The next prime is 204214600481. The reversal of 204214600464 is 464006412402.

204214600464 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204214600464² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204214600463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6769 + ... + 639120.

It is an arithmetic number, because the mean of its divisors is an integer number (7544511912).

Almost surely, 2^204214600464 is an apocalyptic number.

204214600464 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 204214600464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301780476480).

204214600464 is an abundant number, since it is smaller than the sum of its proper divisors (399346352496).

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

204214600464 is a wasteful number, since it uses less digits than its factorization.

204214600464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646848 (or 646842 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 204214600464 in words is "two hundred four billion, two hundred fourteen million, six hundred thousand, four hundred sixty-four".