130384543744 has 405 divisors, whose sum is σ = 339400028961. Its totient is φ = 49916805120.

The previous prime is 130384543699. The next prime is 130384543831. The reversal of 130384543744 is 447345483031.

It is a happy number.

The square root of 130384543744 is 361088.

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

It can be written as a sum of positive squares in only one way, i.e., 19287654400 + 111096889344 = 138880^2 + 333312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130384543694 and 130384543703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4205953009 + ... + 4205953039.

Almost surely, 2^130384543744 is an apocalyptic number.

130384543744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130384543744 is the 361088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130384543744

130384543744 is an abundant number, since it is smaller than the sum of its proper divisors (209015485217).

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

130384543744 is an frugal number, since it uses more digits than its factorization.

130384543744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 130384543744 in words is "one hundred thirty billion, three hundred eighty-four million, five hundred forty-three thousand, seven hundred forty-four".