17628989318721 has 189 divisors, whose sum is σ = 29633220760689. Its totient is φ = 10474889317200.

The previous prime is 17628989318711. The next prime is 17628989318723. The reversal of 17628989318721 is 12781398982671.

The square root of 17628989318721 is 4198689.

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

17628989318721 is a `hidden beast` number, since 1 + 7 + 6 + 289 + 8 + 9 + 318 + 7 + 21 = 666.

It is not a de Polignac number, because 17628989318721 - 2³¹ = 17626841835073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 17628989318721.

It is not an unprimeable number, because it can be changed into a prime (17628989318723) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 83549712306 + ... + 83549712516.

Almost surely, 2^{17628989318721} is an apocalyptic number.

17628989318721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

17628989318721 is the 4198689-th square number.

17628989318721 is the 2099345-th centered octagonal number.

It is an amenable number.

17628989318721 is a deficient number, since it is larger than the sum of its proper divisors (12004231441968).

17628989318721 is an frugal number, since it uses more digits than its factorization.

17628989318721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 292 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 17628989318721 in words is "seventeen trillion, six hundred twenty-eight billion, nine hundred eighty-nine million, three hundred eighteen thousand, seven hundred twenty-one".