74315666881 has 27 divisors (see below), whose sum is σ = 78158645019. Its totient is φ = 70660252800.

The previous prime is 74315666857. The next prime is 74315666921. The reversal of 74315666881 is 18866651347.

The square root of 74315666881 is 272609.

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

It can be written as a sum of positive squares in 13 ways, for example, as 71926412481 + 2389254400 = 268191^2 + 48880^2 .

It is not a de Polignac number, because 74315666881 - 2¹⁷ = 74315535809 is a prime.

It is a super-2 number, since 2×74315666881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74315666801) 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 26 ways as a sum of consecutive naturals, for example, 681795055 + ... + 681795163.

Almost surely, 2^74315666881 is an apocalyptic number.

74315666881 is the 272609-th square number.

74315666881 is the 136305-th centered octagonal number.

It is an amenable number.

74315666881 is a deficient number, since it is larger than the sum of its proper divisors (3842978138).

74315666881 is an frugal number, since it uses more digits than its factorization.

74315666881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 74315666881 in words is "seventy-four billion, three hundred fifteen million, six hundred sixty-six thousand, eight hundred eighty-one".