498802812768 has 288 divisors, whose sum is σ = 1648974075840. Its totient is φ = 141741895680.

The previous prime is 498802812763. The next prime is 498802812839. The reversal of 498802812768 is 867218208894.

498802812768 is a `hidden beast` number, since 4 + 9 + 8 + 80 + 281 + 276 + 8 = 666.

498802812768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498802812763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2397378 + ... + 2597118.

It is an arithmetic number, because the mean of its divisors is an integer number (5725604430).

Almost surely, 2^498802812768 is an apocalyptic number.

498802812768 is a gapful number since it is divisible by the number (48) 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 498802812768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824487037920).

498802812768 is an abundant number, since it is smaller than the sum of its proper divisors (1150171263072).

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

498802812768 is a wasteful number, since it uses less digits than its factorization.

498802812768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199822 (or 199811 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 498802812768 in words is "four hundred ninety-eight billion, eight hundred two million, eight hundred twelve thousand, seven hundred sixty-eight".