204458046160 has 40 divisors (see below), whose sum is σ = 475489689480. Its totient is φ = 81761759232.

The previous prime is 204458046103. The next prime is 204458046203. The reversal of 204458046160 is 61640854402.

204458046160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 251666496 + 204206379664 = 15864^2 + 451892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26745 + ... + 640024.

It is an arithmetic number, because the mean of its divisors is an integer number (11887242237).

Almost surely, 2^204458046160 is an apocalyptic number.

204458046160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204458046160 is an abundant number, since it is smaller than the sum of its proper divisors (271031643320).

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

204458046160 is a wasteful number, since it uses less digits than its factorization.

204458046160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670615 (or 670609 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 204458046160 in words is "two hundred four billion, four hundred fifty-eight million, forty-six thousand, one hundred sixty".