16931138321 has 8 divisors (see below), whose sum is σ = 18411604200. Its totient is φ = 15504507648.

The previous prime is 16931138309. The next prime is 16931138351. The reversal of 16931138321 is 12383113961.

16931138321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6355278400 + 10575859921 = 79720^2 + 102839^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16931138321 - 2³⁰ = 15857396497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16931138351) 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 7 ways as a sum of consecutive naturals, for example, 13458146 + ... + 13459403.

It is an arithmetic number, because the mean of its divisors is an integer number (2301450525).

Almost surely, 2^16931138321 is an apocalyptic number.

It is an amenable number.

16931138321 is a deficient number, since it is larger than the sum of its proper divisors (1480465879).

16931138321 is a wasteful number, since it uses less digits than its factorization.

16931138321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26917603.

The product of its digits is 23328, while the sum is 38.

The spelling of 16931138321 in words is "sixteen billion, nine hundred thirty-one million, one hundred thirty-eight thousand, three hundred twenty-one".