18618329601 has 15 divisors (see below), whose sum is σ = 27814401043. Its totient is φ = 12411401040.

The previous prime is 18618329599. The next prime is 18618329621. The reversal of 18618329601 is 10692381681.

The square root of 18618329601 is 136449.

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

18618329601 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 8 + 32 + 9 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10322763201 + 8295566400 = 101601^2 + 91080^2 .

It is not a de Polignac number, because 18618329601 - 2¹ = 18618329599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18618329621) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1220461 + ... + 1235621.

Almost surely, 2^18618329601 is an apocalyptic number.

18618329601 is the 136449-th square number.

18618329601 is the 68225-th centered octagonal number.

It is an amenable number.

18618329601 is a deficient number, since it is larger than the sum of its proper divisors (9196071442).

18618329601 is an frugal number, since it uses more digits than its factorization.

18618329601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30334 (or 15164 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 18618329601 in words is "eighteen billion, six hundred eighteen million, three hundred twenty-nine thousand, six hundred one".