131068768416 has 96 divisors (see below), whose sum is σ = 356327475840. Its totient is φ = 42134701056.

The previous prime is 131068768381. The next prime is 131068768417. The reversal of 131068768416 is 614867860131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (131068768417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442870 + ... + 2495946.

It is an arithmetic number, because the mean of its divisors is an integer number (3711744540).

Almost surely, 2^131068768416 is an apocalyptic number.

131068768416 is a gapful number since it is divisible by the number (16) 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 131068768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178163737920).

131068768416 is an abundant number, since it is smaller than the sum of its proper divisors (225258707424).

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

131068768416 is a wasteful number, since it uses less digits than its factorization.

131068768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54006 (or 53998 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 131068768416 in words is "one hundred thirty-one billion, sixty-eight million, seven hundred sixty-eight thousand, four hundred sixteen".