131641645824 has 864 divisors, whose sum is σ = 449980876800. Its totient is φ = 38101155840.

The previous prime is 131641645819. The next prime is 131641645847. The reversal of 131641645824 is 428546146131.

131641645824 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 1 + 64 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 131641645824.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1479119572 + ... + 1479119660.

It is an arithmetic number, because the mean of its divisors is an integer number (520811200).

Almost surely, 2^131641645824 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 131641645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224990438400).

131641645824 is an abundant number, since it is smaller than the sum of its proper divisors (318339230976).

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

131641645824 is an equidigital number, since it uses as much as digits as its factorization.

131641645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

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

The spelling of 131641645824 in words is "one hundred thirty-one billion, six hundred forty-one million, six hundred forty-five thousand, eight hundred twenty-four".