491767888248 has 288 divisors, whose sum is σ = 1669819788000. Its totient is φ = 129594318336.

The previous prime is 491767888243. The next prime is 491767888301. The reversal of 491767888248 is 842888767194.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491767888243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70764678 + ... + 70771626.

It is an arithmetic number, because the mean of its divisors is an integer number (5797985375).

Almost surely, 2^491767888248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491767888248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834909894000).

491767888248 is an abundant number, since it is smaller than the sum of its proper divisors (1178051899752).

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

491767888248 is a wasteful number, since it uses less digits than its factorization.

491767888248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8517 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 491767888248 in words is "four hundred ninety-one billion, seven hundred sixty-seven million, eight hundred eighty-eight thousand, two hundred forty-eight".