204829509248 has 128 divisors (see below), whose sum is σ = 504612474240. Its totient is φ = 80646451200.

The previous prime is 204829509233. The next prime is 204829509263. The reversal of 204829509248 is 842905928402.

It is an interprime number because it is at equal distance from previous prime (204829509233) and next prime (204829509263).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 204829509248.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2416058 + ... + 2499398.

It is an arithmetic number, because the mean of its divisors is an integer number (3942284955).

Almost surely, 2^204829509248 is an apocalyptic number.

204829509248 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 204829509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252306237120).

204829509248 is an abundant number, since it is smaller than the sum of its proper divisors (299782964992).

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

204829509248 is a wasteful number, since it uses less digits than its factorization.

204829509248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83586 (or 83574 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 204829509248 in words is "two hundred four billion, eight hundred twenty-nine million, five hundred nine thousand, two hundred forty-eight".