17457864984121 has 3 divisors (see below), whose sum is σ = 17457869162383. Its totient is φ = 17457860805860.

The previous prime is 17457864984067. The next prime is 17457864984181. The reversal of 17457864984121 is 12148946875471.

The square root of 17457864984121 is 4178261.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 85140820521 + 17372724163600 = 291789^2 + 4168060^2 .

It is not a de Polignac number, because 17457864984121 - 2¹⁵ = 17457864951353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17457864984181) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2089131 + ... + 6267391.

Almost surely, 2^{17457864984121} is an apocalyptic number.

17457864984121 is the 4178261-st square number.

17457864984121 is the 2089131-st centered octagonal number.

It is an amenable number.

17457864984121 is a deficient number, since it is larger than the sum of its proper divisors (4178262).

17457864984121 is an frugal number, since it uses more digits than its factorization.

17457864984121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356522 (or 4178261 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 67.

The spelling of 17457864984121 in words is "seventeen trillion, four hundred fifty-seven billion, eight hundred sixty-four million, nine hundred eighty-four thousand, one hundred twenty-one".