204148340352 has 192 divisors, whose sum is σ = 641331250560. Its totient is φ = 61817978880.

The previous prime is 204148340321. The next prime is 204148340371. The reversal of 204148340352 is 253043841402.

204148340352 is a `hidden beast` number, since 204 + 1 + 48 + 3 + 403 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20054688 + ... + 20064864.

It is an arithmetic number, because the mean of its divisors is an integer number (3340266930).

Almost surely, 2^204148340352 is an apocalyptic number.

204148340352 is a gapful number since it is divisible by the number (22) 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 204148340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320665625280).

204148340352 is an abundant number, since it is smaller than the sum of its proper divisors (437182910208).

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

204148340352 is a wasteful number, since it uses less digits than its factorization.

204148340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791 (or 11776 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 204148340352 in words is "two hundred four billion, one hundred forty-eight million, three hundred forty thousand, three hundred fifty-two".