298345711104 has 640 divisors, whose sum is σ = 1082330726400. Its totient is φ = 80191586304.

The previous prime is 298345711039. The next prime is 298345711123. The reversal of 298345711104 is 401117543892.

298345711104 is a `hidden beast` number, since 2 + 9 + 83 + 457 + 1 + 110 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 298345711104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133248417 + ... + 133250655.

It is an arithmetic number, because the mean of its divisors is an integer number (1691141760).

Almost surely, 2^298345711104 is an apocalyptic number.

298345711104 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 298345711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541165363200).

298345711104 is an abundant number, since it is smaller than the sum of its proper divisors (783985015296).

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

298345711104 is an frugal number, since it uses more digits than its factorization.

298345711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 298345711104 in words is "two hundred ninety-eight billion, three hundred forty-five million, seven hundred eleven thousand, one hundred four".