131530246848 has 2016 divisors, whose sum is σ = 573712409088. Its totient is φ = 29262643200.

The previous prime is 131530246847. The next prime is 131530246909. The reversal of 131530246848 is 848642035131.

131530246848 is a `hidden beast` number, since 1 + 31 + 530 + 2 + 4 + 6 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (131530246843) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1852538653 + ... + 1852538723.

It is an arithmetic number, because the mean of its divisors is an integer number (284579568).

Almost surely, 2^131530246848 is an apocalyptic number.

131530246848 is a gapful number since it is divisible by the number (18) 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 131530246848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856204544).

131530246848 is an abundant number, since it is smaller than the sum of its proper divisors (442182162240).

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

131530246848 is a wasteful number, since it uses less digits than its factorization.

131530246848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 131530246848 in words is "one hundred thirty-one billion, five hundred thirty million, two hundred forty-six thousand, eight hundred forty-eight".