130780998146304 has 567 divisors, whose sum is σ = 417111382265851. Its totient is φ = 39409205468160.

The previous prime is 130780998146251. The next prime is 130780998146311. The reversal of 130780998146304 is 403641899087031.

The square root of 130780998146304 is 11435952.

It is a perfect power (a square), and thus also a powerful number.

130780998146304 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 8 + 0 + 99 + 81 + 463 + 0 + 4 = 666.

It is a super-2 number, since 2×130780998146304² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 730620101287 + ... + 730620101465.

Almost surely, 2^{130780998146304} is an apocalyptic number.

130780998146304 is the 11435952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130780998146304

130780998146304 is an abundant number, since it is smaller than the sum of its proper divisors (286330384119547).

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

130780998146304 is an frugal number, since it uses more digits than its factorization.

130780998146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 130780998146304 in words is "one hundred thirty trillion, seven hundred eighty billion, nine hundred ninety-eight million, one hundred forty-six thousand, three hundred four".