298004299193664 has 1120 divisors, whose sum is σ = 1043975942406144. Its totient is φ = 82304005754880.

The previous prime is 298004299193611. The next prime is 298004299193737. The reversal of 298004299193664 is 466391992400892.

298004299193664 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 0 + 429 + 9 + 193 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 298004299193592 and 298004299193601.

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 159 ways as a sum of consecutive naturals, for example, 30080170599 + ... + 30080180505.

Almost surely, 2^{298004299193664} is an apocalyptic number.

298004299193664 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 298004299193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521987971203072).

298004299193664 is an abundant number, since it is smaller than the sum of its proper divisors (745971643212480).

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

298004299193664 is a wasteful number, since it uses less digits than its factorization.

298004299193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 298004299193664 in words is "two hundred ninety-eight trillion, four billion, two hundred ninety-nine million, one hundred ninety-three thousand, six hundred sixty-four".