491198137241568 has 48 divisors (see below), whose sum is σ = 1293541075322496. Its totient is φ = 163206240659840.

The previous prime is 491198137241519. The next prime is 491198137241569. The reversal of 491198137241568 is 865142731891194.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×491198137241568² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491198137241569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8226091146 + ... + 8226150857.

It is an arithmetic number, because the mean of its divisors is an integer number (26948772402552).

Almost surely, 2^{491198137241568} is an apocalyptic number.

491198137241568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

491198137241568 is an abundant number, since it is smaller than the sum of its proper divisors (802342938080928).

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

491198137241568 is a wasteful number, since it uses less digits than its factorization.

491198137241568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16452242327 (or 16452242319 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 69.

The spelling of 491198137241568 in words is "four hundred ninety-one trillion, one hundred ninety-eight billion, one hundred thirty-seven million, two hundred forty-one thousand, five hundred sixty-eight".