204842146320 has 160 divisors (see below), whose sum is σ = 806362794240. Its totient is φ = 46821058560.

The previous prime is 204842146273. The next prime is 204842146337. The reversal of 204842146320 is 23641248402.

204842146320 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 4 + 2 + 14 + 632 + 0 = 666.

204842146320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 6758761 + ... + 6789000.

It is an arithmetic number, because the mean of its divisors is an integer number (5039767464).

Almost surely, 2^204842146320 is an apocalyptic number.

204842146320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204842146320 is an abundant number, since it is smaller than the sum of its proper divisors (601520647920).

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

204842146320 is a wasteful number, since it uses less digits than its factorization.

204842146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13547790 (or 13547778 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 204842146320 in words is "two hundred four billion, eight hundred forty-two million, one hundred forty-six thousand, three hundred twenty".