724100585481 has 135 divisors (see below), whose sum is σ = 1363831146711. Its totient is φ = 381575559456.

The previous prime is 724100585471. The next prime is 724100585497. The reversal of 724100585481 is 184585001427.

The square root of 724100585481 is 850941.

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

724100585481 is a `hidden beast` number, since 7 + 24 + 1 + 0 + 0 + 585 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107115471225 + 616985114256 = 327285^2 + 785484^2 .

It is not a de Polignac number, because 724100585481 - 2¹³ = 724100577289 is a prime.

It is a super-2 number, since 2×724100585481² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (724100585471) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 696920160 + ... + 696921198.

Almost surely, 2^724100585481 is an apocalyptic number.

724100585481 is the 850941-st square number.

724100585481 is the 425471-st centered octagonal number.

It is an amenable number.

724100585481 is a deficient number, since it is larger than the sum of its proper divisors (639730561230).

724100585481 is an equidigital number, since it uses as much as digits as its factorization.

724100585481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 724100585481 in words is "seven hundred twenty-four billion, one hundred million, five hundred eighty-five thousand, four hundred eighty-one".