204048149760 has 1440 divisors, whose sum is σ = 912447486720. Its totient is φ = 42568187904.

The previous prime is 204048149759. The next prime is 204048149771. The reversal of 204048149760 is 67941840402.

204048149760 is a `hidden beast` number, since 20 + 4 + 0 + 4 + 81 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 2292675796 + ... + 2292675884.

It is an arithmetic number, because the mean of its divisors is an integer number (633644088).

Almost surely, 2^204048149760 is an apocalyptic number.

204048149760 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 204048149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456223743360).

204048149760 is an abundant number, since it is smaller than the sum of its proper divisors (708399336960).

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

204048149760 is an frugal number, since it uses more digits than its factorization.

204048149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 204048149760 in words is "two hundred four billion, forty-eight million, one hundred forty-nine thousand, seven hundred sixty".