491448588288 has 192 divisors, whose sum is σ = 1498419336960. Its totient is φ = 140316672000.

The previous prime is 491448588217. The next prime is 491448588349. The reversal of 491448588288 is 882885844194.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81755203 + ... + 81761213.

It is an arithmetic number, because the mean of its divisors is an integer number (7804267380).

Almost surely, 2^491448588288 is an apocalyptic number.

491448588288 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 491448588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749209668480).

491448588288 is an abundant number, since it is smaller than the sum of its proper divisors (1006970748672).

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

491448588288 is a wasteful number, since it uses less digits than its factorization.

491448588288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 7924 counting only the distinct ones).

The product of its digits is 188743680, while the sum is 69.

The spelling of 491448588288 in words is "four hundred ninety-one billion, four hundred forty-eight million, five hundred eighty-eight thousand, two hundred eighty-eight".