18682804614321 has 27 divisors (see below), whose sum is σ = 27885479712363. Its totient is φ = 12053162990160.

The previous prime is 18682804614319. The next prime is 18682804614389. The reversal of 18682804614321 is 12341640828681.

The square root of 18682804614321 is 4322361.

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

18682804614321 is a `hidden beast` number, since 1 + 8 + 6 + 82 + 80 + 461 + 4 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4462635125025 + 14220169489296 = 2112495^2 + 3770964^2 .

It is not a de Polignac number, because 18682804614321 - 2¹ = 18682804614319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18682804614301) 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, 401956335 + ... + 402002811.

Almost surely, 2^{18682804614321} is an apocalyptic number.

18682804614321 is the 4322361-st square number.

18682804614321 is the 2161181-st centered octagonal number.

It is an amenable number.

18682804614321 is a deficient number, since it is larger than the sum of its proper divisors (9202675098042).

18682804614321 is an frugal number, since it uses more digits than its factorization.

18682804614321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93022 (or 46511 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 18682804614321 in words is "eighteen trillion, six hundred eighty-two billion, eight hundred four million, six hundred fourteen thousand, three hundred twenty-one".