298038222144 has 420 divisors, whose sum is σ = 965752330620. Its totient is φ = 90833633280.

The previous prime is 298038222101. The next prime is 298038222191. The reversal of 298038222144 is 441222830892.

298038222144 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 382 + 221 + 44 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 114758337600 + 183279884544 = 338760^2 + 428112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 298038222144.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 95492904 + ... + 95496024.

It is an arithmetic number, because the mean of its divisors is an integer number (2299410311).

Almost surely, 2^298038222144 is an apocalyptic number.

298038222144 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 298038222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482876165310).

298038222144 is an abundant number, since it is smaller than the sum of its proper divisors (667714108476).

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

298038222144 is a wasteful number, since it uses less digits than its factorization.

298038222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3248 counting only the distinct ones).

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

The spelling of 298038222144 in words is "two hundred ninety-eight billion, thirty-eight million, two hundred twenty-two thousand, one hundred forty-four".