298309004376768 has 840 divisors, whose sum is σ = 1158367083945984. Its totient is φ = 74983389465600.

The previous prime is 298309004376749. The next prime is 298309004376797. The reversal of 298309004376768 is 867673400903892.

298309004376768 is a `hidden beast` number, since 2 + 9 + 8 + 30 + 90 + 0 + 437 + 6 + 76 + 8 = 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 = 298309004376696 and 298309004376705.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84897505 + ... + 88341407.

Almost surely, 2^{298309004376768} is an apocalyptic number.

298309004376768 is a gapful number since it is divisible by the number (28) 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 298309004376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579183541972992).

298309004376768 is an abundant number, since it is smaller than the sum of its proper divisors (860058079569216).

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

298309004376768 is a wasteful number, since it uses less digits than its factorization.

298309004376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443983 (or 3443957 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 298309004376768 in words is "two hundred ninety-eight trillion, three hundred nine billion, four million, three hundred seventy-six thousand, seven hundred sixty-eight".