491969114208 has 1152 divisors, whose sum is σ = 1777608201600. Its totient is φ = 133025587200.

The previous prime is 491969114207. The next prime is 491969114251. The reversal of 491969114208 is 802411969194.

491969114208 is a `hidden beast` number, since 49 + 1 + 96 + 91 + 1 + 420 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (491969114207) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4513478058 + ... + 4513478166.

It is an arithmetic number, because the mean of its divisors is an integer number (1543062675).

Almost surely, 2^491969114208 is an apocalyptic number.

491969114208 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 491969114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888804100800).

491969114208 is an abundant number, since it is smaller than the sum of its proper divisors (1285639087392).

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

491969114208 is a wasteful number, since it uses less digits than its factorization.

491969114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 491969114208 in words is "four hundred ninety-one billion, nine hundred sixty-nine million, one hundred fourteen thousand, two hundred eight".