18629247121 has 9 divisors (see below), whose sum is σ = 19100438833. Its totient is φ = 18169415680.

The previous prime is 18629247113. The next prime is 18629247127. The reversal of 18629247121 is 12174292681.

The square root of 18629247121 is 136489.

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 7274213521 + 11355033600 = 85289^2 + 106560^2 .

It is not a de Polignac number, because 18629247121 - 2³ = 18629247113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18629247127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5594385 + ... + 5597713.

Almost surely, 2^18629247121 is an apocalyptic number.

18629247121 is the 136489-th square number.

18629247121 is the 68245-th centered octagonal number.

It is an amenable number.

18629247121 is a deficient number, since it is larger than the sum of its proper divisors (471191712).

18629247121 is an frugal number, since it uses more digits than its factorization.

18629247121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 3370 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The spelling of 18629247121 in words is "eighteen billion, six hundred twenty-nine million, two hundred forty-seven thousand, one hundred twenty-one".