18626517441 has 81 divisors (see below), whose sum is σ = 32102638659. Its totient is φ = 10376771328.

The previous prime is 18626517421. The next prime is 18626517443. The reversal of 18626517441 is 14471562681.

The square root of 18626517441 is 136479.

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

18626517441 is a `hidden beast` number, since 1 + 8 + 626 + 5 + 17 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8364017025 + 10262500416 = 91455^2 + 101304^2 .

It is not a de Polignac number, because 18626517441 - 2¹⁹ = 18625993153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18626517443) 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, 192025905 + ... + 192026001.

Almost surely, 2^18626517441 is an apocalyptic number.

18626517441 is the 136479-th square number.

18626517441 is the 68240-th centered octagonal number.

It is an amenable number.

18626517441 is a deficient number, since it is larger than the sum of its proper divisors (13476121218).

18626517441 is an frugal number, since it uses more digits than its factorization.

18626517441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 18626517441 in words is "eighteen billion, six hundred twenty-six million, five hundred seventeen thousand, four hundred forty-one".