130641444864 has 750 divisors, whose sum is σ = 466427825094. Its totient is φ = 36415733760.

The previous prime is 130641444847. The next prime is 130641444889. The reversal of 130641444864 is 468444146031.

130641444864 is a `hidden beast` number, since 130 + 6 + 4 + 14 + 448 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79659417600 + 50982027264 = 282240^2 + 225792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3186376684 + ... + 3186376724.

Almost surely, 2^130641444864 is an apocalyptic number.

130641444864 is a gapful number since it is divisible by the number (14) 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 130641444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233213912547).

130641444864 is an abundant number, since it is smaller than the sum of its proper divisors (335786380230).

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

130641444864 is an frugal number, since it uses more digits than its factorization.

130641444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 130641444864 in words is "one hundred thirty billion, six hundred forty-one million, four hundred forty-four thousand, eight hundred sixty-four".