18629038602769 has 27 divisors (see below), whose sum is σ = 21726858257787. Its totient is φ = 15926338355424.

The previous prime is 18629038602743. The next prime is 18629038602791. The reversal of 18629038602769 is 96720683092681.

The square root of 18629038602769 is 4316137.

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

It can be written as a sum of positive squares in only one way, i.e., 7758091062225 + 10870947540544 = 2785335^2 + 3297112^2 .

It is not a de Polignac number, because 18629038602769 - 2⁷ = 18629038602641 is a prime.

It is a super-2 number, since 2×18629038602769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18629038602709) 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, 19547783997 + ... + 19547784949.

Almost surely, 2^{18629038602769} is an apocalyptic number.

18629038602769 is the 4316137-th square number.

18629038602769 is the 2158069-th centered octagonal number.

It is an amenable number.

18629038602769 is a deficient number, since it is larger than the sum of its proper divisors (3097819655018).

18629038602769 is an frugal number, since it uses more digits than its factorization.

18629038602769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 67.

The spelling of 18629038602769 in words is "eighteen trillion, six hundred twenty-nine billion, thirty-eight million, six hundred two thousand, seven hundred sixty-nine".