16931217989417 has 16 divisors (see below), whose sum is σ = 17043497835792. Its totient is φ = 16819337733120.

The previous prime is 16931217989297. The next prime is 16931217989419. The reversal of 16931217989417 is 71498971213961.

It can be written as a sum of positive squares in 8 ways, for example, as 1087148216896 + 15844069772521 = 1042664^2 + 3980461^2 .

It is a cyclic number.

It is not a de Polignac number, because 16931217989417 - 2¹⁰ = 16931217988393 is a prime.

It is a super-3 number, since 3×16931217989417³ (a number of 41 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 (16931217989419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402518567 + ... + 402560627.

It is an arithmetic number, because the mean of its divisors is an integer number (1065218614737).

Almost surely, 2^{16931217989417} is an apocalyptic number.

It is an amenable number.

16931217989417 is a deficient number, since it is larger than the sum of its proper divisors (112279846375).

16931217989417 is a wasteful number, since it uses less digits than its factorization.

16931217989417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46748.

The product of its digits is 41150592, while the sum is 68.

The spelling of 16931217989417 in words is "sixteen trillion, nine hundred thirty-one billion, two hundred seventeen million, nine hundred eighty-nine thousand, four hundred seventeen".