11777669923321 has 9 divisors (see below), whose sum is σ = 12104718950541. Its totient is φ = 11459230972992.

The previous prime is 11777669923307. The next prime is 11777669923333. The reversal of 11777669923321 is 12332996677711.

The square root of 11777669923321 is 3431861.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1077836399721 + 10699833523600 = 1038189^2 + 3271060^2 .

It is not a de Polignac number, because 11777669923321 - 2¹⁹ = 11777669399033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11777669927321) 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 8 ways as a sum of consecutive naturals, for example, 126932481 + ... + 127025233.

Almost surely, 2^{11777669923321} is an apocalyptic number.

11777669923321 is the 3431861-st square number.

11777669923321 is the 1715931-st centered octagonal number.

It is an amenable number.

11777669923321 is a deficient number, since it is larger than the sum of its proper divisors (327049027220).

11777669923321 is an frugal number, since it uses more digits than its factorization.

11777669923321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185580 (or 92790 counting only the distinct ones).

The product of its digits is 36006768, while the sum is 64.

Multiplying 11777669923321 by its sum of digits (64), we get a square (753770875092544 = 27454888²).

The spelling of 11777669923321 in words is "eleven trillion, seven hundred seventy-seven billion, six hundred sixty-nine million, nine hundred twenty-three thousand, three hundred twenty-one".