491865516288 has 1152 divisors, whose sum is σ = 1716567552000. Its totient is φ = 137859563520.

The previous prime is 491865516287. The next prime is 491865516299. The reversal of 491865516288 is 882615568194.

491865516288 is a `hidden beast` number, since 4 + 9 + 18 + 6 + 551 + 62 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×491865516288² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (491865516281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4596873931 + ... + 4596874037.

It is an arithmetic number, because the mean of its divisors is an integer number (1490076000).

Almost surely, 2^491865516288 is an apocalyptic number.

491865516288 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 491865516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858283776000).

491865516288 is an abundant number, since it is smaller than the sum of its proper divisors (1224702035712).

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

491865516288 is a wasteful number, since it uses less digits than its factorization.

491865516288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 491865516288 in words is "four hundred ninety-one billion, eight hundred sixty-five million, five hundred sixteen thousand, two hundred eighty-eight".