93874570054321 has 27 divisors (see below), whose sum is σ = 111803122160811. Its totient is φ = 78590221701264.

The previous prime is 93874570054273. The next prime is 93874570054327. The reversal of 93874570054321 is 12345007547839.

The square root of 93874570054321 is 9688889.

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

It can be written as a sum of positive squares in only one way, i.e., 28509608834721 + 65364961219600 = 5339439^2 + 8084860^2 .

It is not a de Polignac number, because 93874570054321 - 2³¹ = 93872422570673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93874570054327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2916339495 + ... + 2916371683.

Almost surely, 2^{93874570054321} is an apocalyptic number.

93874570054321 is the 9688889-th square number.

93874570054321 is the 4844445-th centered octagonal number.

It is an amenable number.

93874570054321 is a deficient number, since it is larger than the sum of its proper divisors (17928552106490).

93874570054321 is an frugal number, since it uses more digits than its factorization.

93874570054321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64478 (or 32239 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 93874570054321 in words is "ninety-three trillion, eight hundred seventy-four billion, five hundred seventy million, fifty-four thousand, three hundred twenty-one".