298271622049920 has 640 divisors, whose sum is σ = 1128123422712000. Its totient is φ = 74890503217152.

The previous prime is 298271622049909. The next prime is 298271622049963. The reversal of 298271622049920 is 29940226172892.

298271622049920 is a `hidden beast` number, since 2 + 9 + 82 + 7 + 1 + 62 + 2 + 0 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 159619566 + ... + 161477394.

Almost surely, 2^{298271622049920} is an apocalyptic number.

298271622049920 is a gapful number since it is divisible by the number (20) 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 298271622049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564061711356000).

298271622049920 is an abundant number, since it is smaller than the sum of its proper divisors (829851800662080).

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

298271622049920 is a wasteful number, since it uses less digits than its factorization.

298271622049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858042 (or 1858021 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 298271622049920 in words is "two hundred ninety-eight trillion, two hundred seventy-one billion, six hundred twenty-two million, forty-nine thousand, nine hundred twenty".