491111712 has 216 divisors, whose sum is σ = 1750239036. Its totient is φ = 129475584.

The previous prime is 491111689. The next prime is 491111713. The reversal of 491111712 is 217111194.

491111712 is a `hidden beast` number, since 491 + 1 + 1 + 171 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370023696 + 121088016 = 19236^2 + 11004^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (491111713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182118 + ... + 184794.

Almost surely, 2^491111712 is an apocalyptic number.

491111712 is a gapful number since it is divisible by the number (42) 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 491111712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875119518).

491111712 is an abundant number, since it is smaller than the sum of its proper divisors (1259127324).

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

491111712 is a wasteful number, since it uses less digits than its factorization.

491111712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2702 counting only the distinct ones).

The product of its digits is 504, while the sum is 27.

The square root of 491111712 is about 22161.0404087895. The cubic root of 491111712 is about 788.9692865875.

The spelling of 491111712 in words is "four hundred ninety-one million, one hundred eleven thousand, seven hundred twelve".