204148071360 has 672 divisors, whose sum is σ = 774955097280. Its totient is φ = 50976718848.

The previous prime is 204148071341. The next prime is 204148071427. The reversal of 204148071360 is 63170841402.

204148071360 is a `hidden beast` number, since 2 + 0 + 41 + 480 + 7 + 136 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514226682 + ... + 514227078.

It is an arithmetic number, because the mean of its divisors is an integer number (1153206990).

Almost surely, 2^204148071360 is an apocalyptic number.

204148071360 is a gapful number since it is divisible by the number (20) 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 204148071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387477548640).

204148071360 is an abundant number, since it is smaller than the sum of its proper divisors (570807025920).

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

204148071360 is a wasteful number, since it uses less digits than its factorization.

204148071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 204148071360 in words is "two hundred four billion, one hundred forty-eight million, seventy-one thousand, three hundred sixty".