289048282016400 has 405 divisors, whose sum is σ = 1009350541149769. Its totient is φ = 76600509861120.

The previous prime is 289048282016369. The next prime is 289048282016423. The reversal of 289048282016400 is 4610282840982.

The square root of 289048282016400 is 17001420.

It is a perfect power (a square), and thus also a powerful number.

289048282016400 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 4 + 8 + 28 + 201 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104057381525904 + 184990900490496 = 10200852^2 + 13601136^2 .

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 182595250009 + ... + 182595251591.

Almost surely, 2^{289048282016400} is an apocalyptic number.

289048282016400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

289048282016400 is the 17001420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289048282016400

289048282016400 is an abundant number, since it is smaller than the sum of its proper divisors (720302259133369).

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

289048282016400 is an equidigital number, since it uses as much as digits as its factorization.

289048282016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 289048282016400 in words is "two hundred eighty-nine trillion, forty-eight billion, two hundred eighty-two million, sixteen thousand, four hundred".