204814891008 has 1152 divisors, whose sum is σ = 782717644800. Its totient is φ = 51757056000.

The previous prime is 204814891007. The next prime is 204814891009. The reversal of 204814891008 is 800198418402.

204814891008 is a `hidden beast` number, since 20 + 48 + 1 + 489 + 100 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (204814891007) and next prime (204814891009).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204814891007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2027870158 + ... + 2027870258.

It is an arithmetic number, because the mean of its divisors is an integer number (679442400).

Almost surely, 2^204814891008 is an apocalyptic number.

204814891008 is a gapful number since it is divisible by the number (28) 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 204814891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391358822400).

204814891008 is an abundant number, since it is smaller than the sum of its proper divisors (577902753792).

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

204814891008 is a wasteful number, since it uses less digits than its factorization.

204814891008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 204814891008 in words is "two hundred four billion, eight hundred fourteen million, eight hundred ninety-one thousand, eight".