204154982064 has 640 divisors, whose sum is σ = 743609548800. Its totient is φ = 52754042880.

The previous prime is 204154982063. The next prime is 204154982071. The reversal of 204154982064 is 460289451402.

It is a happy number.

204154982064 is a `hidden beast` number, since 2 + 0 + 41 + 549 + 8 + 2 + 0 + 64 = 666.

204154982064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204154982063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35299717 + ... + 35305499.

It is an arithmetic number, because the mean of its divisors is an integer number (1161889920).

Almost surely, 2^204154982064 is an apocalyptic number.

204154982064 is a gapful number since it is divisible by the number (24) 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 204154982064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371804774400).

204154982064 is an abundant number, since it is smaller than the sum of its proper divisors (539454566736).

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

204154982064 is a wasteful number, since it uses less digits than its factorization.

204154982064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 204154982064 in words is "two hundred four billion, one hundred fifty-four million, nine hundred eighty-two thousand, sixty-four".