16593491867121 has 81 divisors (see below), whose sum is σ = 26166607089987. Its totient is φ = 10128377750400.

The previous prime is 16593491867119. The next prime is 16593491867129. The reversal of 16593491867121 is 12176819439561.

The square root of 16593491867121 is 4073511.

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

16593491867121 is a `hidden beast` number, since 1 + 6 + 59 + 3 + 491 + 8 + 6 + 71 + 21 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 14488566768225 + 2104925098896 = 3806385^2 + 1450836^2 .

It is not a de Polignac number, because 16593491867121 - 2¹ = 16593491867119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16593491867129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23671172071 + ... + 23671172771.

Almost surely, 2^{16593491867121} is an apocalyptic number.

16593491867121 is the 4073511-st square number.

16593491867121 is the 2036756-th centered octagonal number.

It is an amenable number.

16593491867121 is a deficient number, since it is larger than the sum of its proper divisors (9573115222866).

16593491867121 is an frugal number, since it uses more digits than its factorization.

16593491867121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 866 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 16593491867121 in words is "sixteen trillion, five hundred ninety-three billion, four hundred ninety-one million, eight hundred sixty-seven thousand, one hundred twenty-one".