130458938481 has 9 divisors (see below), whose sum is σ = 188442254091. Its totient is φ = 86971903272.

The previous prime is 130458938479. The next prime is 130458938563. The reversal of 130458938481 is 184839854031.

The square root of 130458938481 is 361191.

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

130458938481 is a `hidden beast` number, since 1 + 30 + 45 + 8 + 93 + 8 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107803872225 + 22655066256 = 328335^2 + 150516^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 130458938481 - 2¹ = 130458938479 is a prime.

It is a super-2 number, since 2×130458938481² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130458933481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1023375 + ... + 1143771.

Almost surely, 2^130458938481 is an apocalyptic number.

130458938481 is the 361191-st square number.

130458938481 is the 180596-th centered octagonal number.

It is an amenable number.

130458938481 is a deficient number, since it is larger than the sum of its proper divisors (57983315610).

130458938481 is an frugal number, since it uses more digits than its factorization.

130458938481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240800 (or 120400 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 130458938481 in words is "one hundred thirty billion, four hundred fifty-eight million, nine hundred thirty-eight thousand, four hundred eighty-one".