204916922496 has 1024 divisors, whose sum is σ = 758096640000. Its totient is φ = 53568552960.

The previous prime is 204916922473. The next prime is 204916922503. The reversal of 204916922496 is 694229619402.

204916922496 is a `hidden beast` number, since 2 + 0 + 4 + 91 + 69 + 2 + 2 + 496 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1305203250 + ... + 1305203406.

It is an arithmetic number, because the mean of its divisors is an integer number (740328750).

Almost surely, 2^204916922496 is an apocalyptic number.

204916922496 is a gapful number since it is divisible by the number (26) 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 204916922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379048320000).

204916922496 is an abundant number, since it is smaller than the sum of its proper divisors (553179717504).

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

204916922496 is a wasteful number, since it uses less digits than its factorization.

204916922496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 204916922496 in words is "two hundred four billion, nine hundred sixteen million, nine hundred twenty-two thousand, four hundred ninety-six".