298877105664 has 640 divisors, whose sum is σ = 959248604160. Its totient is φ = 91643904000.

The previous prime is 298877105627. The next prime is 298877105741. The reversal of 298877105664 is 466501778892.

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 63 ways as a sum of consecutive naturals, for example, 1316639119 + ... + 1316639345.

It is an arithmetic number, because the mean of its divisors is an integer number (1498825944).

Almost surely, 2^298877105664 is an apocalyptic number.

298877105664 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 298877105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479624302080).

298877105664 is an abundant number, since it is smaller than the sum of its proper divisors (660371498496).

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

298877105664 is a wasteful number, since it uses less digits than its factorization.

298877105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 298877105664 in words is "two hundred ninety-eight billion, eight hundred seventy-seven million, one hundred five thousand, six hundred sixty-four".