298014345400464 has 2025 divisors, whose sum is σ = 1143358482353451. Its totient is φ = 72388978421760.

The previous prime is 298014345400339. The next prime is 298014345400489. The reversal of 298014345400464 is 464004543410892.

The square root of 298014345400464 is 17263092.

It is a perfect power (a square), and thus also a powerful number.

298014345400464 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 1 + 4 + 34 + 540 + 0 + 4 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2006449586064 + 296007895814400 = 1416492^2 + 17204880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 298014345400464.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1898180543874 + ... + 1898180544030.

Almost surely, 2^{298014345400464} is an apocalyptic number.

298014345400464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

298014345400464 is the 17263092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298014345400464

298014345400464 is an abundant number, since it is smaller than the sum of its proper divisors (845344136952987).

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

298014345400464 is a wasteful number, since it uses less digits than its factorization.

298014345400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 298014345400464 in words is "two hundred ninety-eight trillion, fourteen billion, three hundred forty-five million, four hundred thousand, four hundred sixty-four".