204048634248576 has 384 divisors, whose sum is σ = 635904283472640. Its totient is φ = 62430805831680.

The previous prime is 204048634248541. The next prime is 204048634248611. The reversal of 204048634248576 is 675842436840402.

204048634248576 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 8 + 6 + 34 + 24 + 8 + 576 = 666.

204048634248576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204048634248541) and next prime (204048634248611).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2797794831 + ... + 2797867761.

It is an arithmetic number, because the mean of its divisors is an integer number (1656000738210).

Almost surely, 2^{204048634248576} is an apocalyptic number.

204048634248576 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 204048634248576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317952141736320).

204048634248576 is an abundant number, since it is smaller than the sum of its proper divisors (431855649224064).

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

204048634248576 is a wasteful number, since it uses less digits than its factorization.

204048634248576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74014 (or 73999 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 63.

The spelling of 204048634248576 in words is "two hundred four trillion, forty-eight billion, six hundred thirty-four million, two hundred forty-eight thousand, five hundred seventy-six".