130857224809344 has 512 divisors, whose sum is σ = 397655701954560. Its totient is φ = 37740242411520.

The previous prime is 130857224809307. The next prime is 130857224809357. The reversal of 130857224809344 is 443908422758031.

It is a super-3 number, since 3×130857224809344³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16957003374 + ... + 16957011090.

It is an arithmetic number, because the mean of its divisors is an integer number (776671292880).

Almost surely, 2^{130857224809344} 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 130857224809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198827850977280).

130857224809344 is an abundant number, since it is smaller than the sum of its proper divisors (266798477145216).

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

130857224809344 is a wasteful number, since it uses less digits than its factorization.

130857224809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 130857224809344 in words is "one hundred thirty trillion, eight hundred fifty-seven billion, two hundred twenty-four million, eight hundred nine thousand, three hundred forty-four".