4557409466481 has 63 divisors (see below), whose sum is σ = 7260133440603. Its totient is φ = 2858936212800.

The previous prime is 4557409466431. The next prime is 4557409466531. The reversal of 4557409466481 is 1846649047554.

The square root of 4557409466481 is 2134809.

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

4557409466481 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 4 + 0 + 94 + 66 + 481 = 666.

It is an interprime number because it is at equal distance from previous prime (4557409466431) and next prime (4557409466531).

It can be written as a sum of positive squares in only one way, i.e., 3548156159025 + 1009253307456 = 1883655^2 + 1004616^2 .

It is not a de Polignac number, because 4557409466481 - 2⁷ = 4557409466353 is a prime.

It is a super-2 number, since 2×4557409466481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4557409466411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 979875006 + ... + 979879656.

Almost surely, 2^{4557409466481} is an apocalyptic number.

4557409466481 is the 2134809-th square number.

4557409466481 is the 1067405-th centered octagonal number.

It is an amenable number.

4557409466481 is a deficient number, since it is larger than the sum of its proper divisors (2702723974122).

4557409466481 is an frugal number, since it uses more digits than its factorization.

4557409466481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 4557409466481 in words is "four trillion, five hundred fifty-seven billion, four hundred nine million, four hundred sixty-six thousand, four hundred eighty-one".