66583788492321 has 27 divisors (see below), whose sum is σ = 96823107659187. Its totient is φ = 44092776200400.

The previous prime is 66583788492283. The next prime is 66583788492341. The reversal of 66583788492321 is 12329488738566.

The square root of 66583788492321 is 8159889.

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

66583788492321 is a `hidden beast` number, since 6 + 6 + 5 + 8 + 37 + 88 + 492 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61879383659025 + 4704404833296 = 7866345^2 + 2168964^2 .

It is not a de Polignac number, because 66583788492321 - 2¹¹ = 66583788490273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66583788492321.

It is not an unprimeable number, because it can be changed into a prime (66583788492341) 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, 3696420711 + ... + 3696438723.

Almost surely, 2^{66583788492321} is an apocalyptic number.

66583788492321 is the 8159889-th square number.

66583788492321 is the 4079945-th centered octagonal number.

It is an amenable number.

66583788492321 is a deficient number, since it is larger than the sum of its proper divisors (30239319166866).

66583788492321 is an frugal number, since it uses more digits than its factorization.

66583788492321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36334 (or 18167 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 66583788492321 in words is "sixty-six trillion, five hundred eighty-three billion, seven hundred eighty-eight million, four hundred ninety-two thousand, three hundred twenty-one".