491833306368 has 864 divisors, whose sum is σ = 1598646346752. Its totient is φ = 150493593600.

The previous prime is 491833306361. The next prime is 491833306379. The reversal of 491833306368 is 863603338194.

491833306368 is a `hidden beast` number, since 491 + 8 + 3 + 3 + 30 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491833306361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4352507080 + ... + 4352507192.

Almost surely, 2^491833306368 is an apocalyptic number.

491833306368 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 491833306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799323173376).

491833306368 is an abundant number, since it is smaller than the sum of its proper divisors (1106813040384).

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

491833306368 is a wasteful number, since it uses less digits than its factorization.

491833306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 491833306368 in words is "four hundred ninety-one billion, eight hundred thirty-three million, three hundred six thousand, three hundred sixty-eight".