123581074681 has 9 divisors (see below), whose sum is σ = 124024545541. Its totient is φ = 123139187644.

The previous prime is 123581074633. The next prime is 123581074693. The reversal of 123581074681 is 186470185321.

123581074681 = 1³ + 2³ + ... + 838³.

The square root of 123581074681 is 351541.

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

It is not a de Polignac number, because 123581074681 - 2¹¹ = 123581072633 is a prime.

It is a super-3 number, since 3×123581074681³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123581074601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147295260 + ... + 147296098.

Almost surely, 2^123581074681 is an apocalyptic number.

123581074681 is the 351541-st square number.

123581074681 is the 175771-st centered octagonal number.

It is an amenable number.

123581074681 is a deficient number, since it is larger than the sum of its proper divisors (443470860).

123581074681 is an frugal number, since it uses more digits than its factorization.

123581074681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 123581074681 in words is "one hundred twenty-three billion, five hundred eighty-one million, seventy-four thousand, six hundred eighty-one".