204828390144 has 1152 divisors, whose sum is σ = 785523916800. Its totient is φ = 51279298560.

The previous prime is 204828390131. The next prime is 204828390149. The reversal of 204828390144 is 441093828402.

204828390144 is a `hidden beast` number, since 2 + 0 + 482 + 83 + 90 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 204828390144.

It is not an unprimeable number, because it can be changed into a prime (204828390149) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 739452534 + ... + 739452810.

It is an arithmetic number, because the mean of its divisors is an integer number (681878400).

Almost surely, 2^204828390144 is an apocalyptic number.

204828390144 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 204828390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392761958400).

204828390144 is an abundant number, since it is smaller than the sum of its proper divisors (580695526656).

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

204828390144 is a wasteful number, since it uses less digits than its factorization.

204828390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 204828390144 in words is "two hundred four billion, eight hundred twenty-eight million, three hundred ninety thousand, one hundred forty-four".