131817646488 has 128 divisors (see below), whose sum is σ = 362709446400. Its totient is φ = 39589440000.

The previous prime is 131817646481. The next prime is 131817646537. The reversal of 131817646488 is 884646718131.

It is a Cunningham number, because it is equal to 363067²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131817646481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23959738 + ... + 23965238.

It is an arithmetic number, because the mean of its divisors is an integer number (2833667550).

Almost surely, 2^131817646488 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 131817646488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181354723200).

131817646488 is an abundant number, since it is smaller than the sum of its proper divisors (230891799912).

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

131817646488 is a wasteful number, since it uses less digits than its factorization.

131817646488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6309 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The spelling of 131817646488 in words is "one hundred thirty-one billion, eight hundred seventeen million, six hundred forty-six thousand, four hundred eighty-eight".