17973944937971 has 16 divisors (see below), whose sum is σ = 19809046637568. Its totient is φ = 16172474892000.

The previous prime is 17973944937929. The next prime is 17973944937973.

17973944937971 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 17973944937971 - 2¹⁴ = 17973944921587 is a prime.

It is a super-3 number, since 3×17973944937971³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17973944937973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313310 + ... + 6003836.

It is an arithmetic number, because the mean of its divisors is an integer number (1238065414848).

Almost surely, 2^{17973944937971} is an apocalyptic number.

17973944937971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

17973944937971 is a deficient number, since it is larger than the sum of its proper divisors (1835101699597).

17973944937971 is a wasteful number, since it uses less digits than its factorization.

17973944937971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693482.

The product of its digits is 2268426384, while the sum is 80.

The spelling of 17973944937971 in words is "seventeen trillion, nine hundred seventy-three billion, nine hundred forty-four million, nine hundred thirty-seven thousand, nine hundred seventy-one".