491485968000 has 896 divisors, whose sum is σ = 1896577534800. Its totient is φ = 126456422400.

The previous prime is 491485967969. The next prime is 491485968007. The reversal of 491485968000 is 869584194.

491485968000 is a `hidden beast` number, since 4 + 9 + 1 + 48 + 596 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 115442293824 + 376043674176 = 339768^2 + 613224^2 .

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 (491485968007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 338255274 + ... + 338256726.

Almost surely, 2^491485968000 is an apocalyptic number.

491485968000 is a gapful number since it is divisible by the number (40) 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 491485968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948288767400).

491485968000 is an abundant number, since it is smaller than the sum of its proper divisors (1405091566800).

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

491485968000 is an equidigital number, since it uses as much as digits as its factorization.

491485968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 491485968000 in words is "four hundred ninety-one billion, four hundred eighty-five million, nine hundred sixty-eight thousand".